find all solutions of sin (x) = sec (x)

Answers

Answer 1
sin(x)=sec(x)
Sin(x)=1/cos(x)
Cos(x)•sin(x)=1
Sin(2x)/2=1
Sin(2x)=2
Find All Solutions Of Sin (x) = Sec (x)
Answer 2

The solution is Option A.

The solutions of the trigonometric equation sin (x) = sec (x) is none because the range of sine is −1 ≤ y ≤ 1. Since 2 does not fall in this range, there is no solution

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric equation be represented as A

Now , the value of A is

sin ( x ) = sec ( x )   be equation (1)

On simplifying the equation , we get

sin ( x ) = 1 / cos ( x )

Multiply by cos ( x ) on both sides of the equation , we get

sin ( x ) cos ( x ) = 1

Now , the value of the trigonometric equation sin ( 2x ) = 2sin ( x ) cos ( x )

So , Substituting the values in the equation , we get

2sin ( x ) cos ( x ) / 2 = 1

sin ( 2x ) / 2 = 1

Multiply by 2 on both sides of the equation , we get

sin ( 2x ) = 2

Now , The range of sine is −1 ≤ y ≤ 1

So , there is no solution for the equation

Hence , the solution to the trigonometric equation is none

To learn more about trigonometric relations click :

https://brainly.com/question/14746686

#SPJ2


Related Questions

Blue
A bowl contains:
• 3 red erasers
• 4 blue erasers
.6 green erasers
• 7 pink erasers
An eraser will be drawn from
the bowl and replaced 50 times.
What is a reasonable prediction
for the number of times a green
eraser will be drawn?

Whoever answers correctly will be marked brainliest

Answers

Answer:

30%

Step-by-step explanation:

3+4+6+7= 20

6 (green) / 20

= 30%

Write an inequality for the situation.


all real numbers y that are less than 4 or greater than 9






y < 4 or y > 9


4 < y < 9


y < 4 or y < 9


y < 9 or y > 4

Answers

Answer:

y < 4 or y > 9

Step-by-step explanation:

The symbol < means less than, while the symbol > means greater than. So, the inequality y < 4 means that y is less than 4, and the inequality y > 9 means that y is greater than 9. When put together you have all real numbers y that are less than 4 or greater than 9.

Can someone please help asap thank you

Answers

Answer:

1. -10 > x

2. No, because the more you raise the ticket price, the less people will attend.

3. C) -x - 6 > -3.5

4. you have to do yourself

Step-by-step explanation:

1. if you solve for 5 - 3x > 35 you get x < -30, which means that any answer will be less than -10

Factorise 3[tex]x^{2}[/tex]+5x+2

Answers

(x+1)x(3x+2) is the answer

A marble jar contains 1 blue, 2 green, 3 red, and 5 yellow marbles. If a single marble is drawn at random from the jar, what is the probability that it is blue or red?

Answers

Answer:

4/11

Step-by-step explanation:

1 blue, 2 green, 3 red, and 5 yellow marbles.= 11 marbles

P( blue or red) = number of blue or red / total

                        = 4/11

help me with this question ​

Answers

Answer:

37.2

Step-by-step explanation:

when you turn the small triangle LMN to its right angle to cover the right angle of KLM, you find that they are similar triangles.

therefore the corresponding side lengths are at the same ratio.

LM/KM = MN/LN

LM = 24

MN = 13

we can get LN via Pythagoras of the small triangle

LN² + MN² = LM²

LN² + 13² = 24²

LN² = 24² - 13² = 576 - 169 = 407

LN = sqrt(407) = 20.174241

now back to our main problem

24/KM = 13/sqrt(407)

24×sqrt(407)/13 = KM = 37.2

Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.

36 km

24 km

52.5 km

58 km

Answers

Answer:

x = 36 km

Step-by-step explanation:

The triangle is a right triangle. To find x, apply Pythagorean theorem which is given as: c² = a² + b²

c = hypotenuse/longest leg = 45 km

a = x

b = 27

Thus:

45² = x² + 27²

2,025 = x² + 729

2,025 - 729 = x²

1,296 = x²

√1,296 = x

36 = x

x = 36 km

what does the E stand for in PEMDAS

Answers

The E in Pemdas stands for exponents.

Answer:

P: parenthesis

E: Exponents

M: multiplication

D: division

A: Addition

S: substraction

Step-by-step explanation:

Please help I’ll give brainliest!!

Answers

(-3)^2 = -3 x -3 = 9

(-2)^2 = -2 x -2 = 4

9 + 4 = 13

The answer is 13

Answer:

(-3)^2 + (-2)^2

(-3*-3) +(-2*-2)

9 + 4

13

factorize 6×square + 5× - 4 =o​

Answers

Answer:

6×square + 5× - 4 =o

6×square+(8-3)×-4=0

6×square+8×-3×-4=0

2×(3×+4)-1(3×+4)=0

(3×+4)(2×-1)=0

either,

3x+4=0

3×=-4

×= -4/3

or,

2x-1=0

×=1/2,,

The value of two numbers has a sum of 20. Those same two numbers have a difference of -6. Find the value of those two numbers.

Answers

Answer: [tex]-6,13[/tex]

Step-by-step explanation:

Given

The sum of the two numbers is 20

and the difference of the two is -6

Suppose, the numbers are x and y

[tex]\therefore x+y=20\quad \ldots(i)\\\Rightarrow x-y=-6\quad \ldots(ii)\\\text{Solving} (i)\ \text{and}\ (ii)\ \text{we get}[/tex]

[tex]\Rightarrow 2x=14\\\Rightarrow x=7[/tex]

[tex]\therefore y=13[/tex]

Therefore, the numbers are [tex]-6,\ \text{and}\ 13[/tex]

Un poste de luz tiene un cable en la punta con el que forma un ángulo de 60°. Indique la longitud del poste sabiendo que el cable mide 7 metros desde la punta del poste hasta el suelo.

Answers

Answer:

4.04 metros

Step-by-step explanation:

Resolvemos la pregunta anterior usando la función trigonométrica de

tan θ = Opuesto / Adyacente

θ = 60 °

Frente = 7 metros

Adyacente =? = x

Por eso

bronceado 60 = 7 / x

Multiplicar cruzada

= tan 60 × x = 7

x = 7 / tan 60

x = 4.0414518843 metros

Aproximadamente = 4.04 metros

Natasha is 12 years old and her teacher is 36. Which ratio best repersents Natasha's age in 4 years and here teachers age in 4 years A. 1:3 B. 2:5 C. 3:10 D. 4:9

Answers

I think it is A- 1:3 :)

What is the surface area and volume of this shape?

Answers

Answer:

894.14 mm^2.

Step-by-step explanation:

i did this.

I think it’s c I hope that helps

which of the following is a root of the polynomial function?​

Answers

Answer:

a

Step-by-step explanation:

Solve for x

1) 3x - 2 = 10

Answers

Answer: x equals 4 your welcome

Answer:

Hi, there your answer is x=4

Step-by-step explanation:

Step 1: Add 2 to both sides.

3x−2+2=10+2

3x=12

Step 2: Divide both sides by 3.

[tex]\frac{3x}{3}=\frac{12}{3}[/tex]

x=4

Melissa and Emily are playing at the pool.They have three different measuring jars for; liters, cups, and pints. They find that 7 cups of water and 3 liters of water filled 9.8 pints. Later, they find that if they start with 5 liters of water and remove 9 cups of water, they end up with 6 pints of water. Model the given two situations as a system of linear equations. Based on your equations, determine the relationship between;

Answers

Answer:

Here is the missing part.

Cups and liters:-1 litre = 2.1 cups

Cups and pints:- 1 pint = 2 cups

Pints and liters:-1 litre = 2.1 pints

Step-by-step explanation:

Step 1:

7 cups + 3 liters = 9.8 pints

[tex]7c+3l=9.8p[/tex]

5 liters - 9 cups = 6 pints

[tex]5l+9c=6p[/tex]

Cups and Liters

[tex]7c+3l=9.8p[/tex]

[tex]p= 7c+3l/9.8[/tex] (put in equation 2)

[tex]5l-9c= 7c+3l/9.8\\49l-88.2c=7c+3l\\49l-3l=7c-88.2c\\46l=45.2c[/tex]

1 Liter = 2.1 Cups.

Step 2:

Cups and Pints

[tex]7c+3l=9.8p\\3l=9.8p-7c[/tex]

[tex]l=9.8p-7c/3[/tex](put in equation 2)

[tex]5(9.8p-7c/3)-9c=6p\\(49p-35c/3)-9c=6p\\49/3p-35/3c-9c=6p\\49/3p-6p=35/3c+9c\\31/3p=62/3c[/tex]

1 Pint = 2 Cups.

Step 3:

Pints and Liters

[tex]7c=9.8p-3l[/tex]

[tex]c=9.8p-3l/7[/tex](put in equation 2)

[tex]5l-9(9.8p-3l/7)=6p\\5l-63/5p+27/7l=6p\\5l+27/7l=6p+63/5p\\62/7l=93/5p[/tex]

​1 Liter = 2.1 Pints.

A car uses 6 litres of petrol when travelling 66 Km. Calculate the number of litres of petrol used when travelling 165 Km?

Answers

Answer:

15L

Step-by-step explanation:

divide the number of km's you will travel(165) by the number you are given originally(66)- 165/66 is 2.5

then multiply 2.5 by the amount  of litres it takes for the original 66 km (6L)- 2.5*6 is 15L

Mr.Caldwell has 10 full size pizzas and half of another one.He wants to share the pizza with 8 of students. Mr.Caldwell doesn't want any pizza.How much pizza did will each student get?

Answers

Answer: [tex]1\ \text{Pizza}\ \text{and}\ \dfrac{5}{16}\ \text{pizza}[/tex]

Step-by-step explanation:

Given

Mr. Caldwell has 10 full pizzas and half of another one

he wants to distribute it in among 8 of his students

Total pizzas are [tex]10+\frac{1}{2}=\frac{21}{2}[/tex]

So, each student gets

[tex]\Rightarrow \dfrac{\dfrac{21}{2}}{8}\\\\\Rightarrow \dfrac{21}{16}\ \text{or}\ 1\dfrac{5}{16}[/tex]

that is 1 pizza and five-sixteenth part of a pizza.

write the set of natural numbers that is less than or equal to 6 in both the notations​

Answers

Answer:

Step-by-step explanation:

Builder :

X = { x ∈ N : x ≤ 6}

Roster :

X = { 1, 2 , 3 , 4 , 5 , 6}

Need help ASAP DUE IN 20 minutes please and show work ?!!!

Answers

Answer:

V≈134.0

Step-by-step explanation:

divide 8 by 2 to get the radius .

V=πr2h /3

V=πr2 h /3=π·42·8 /3≈ 134.0

Select the correct answer.
Henry wants to get a job this summer. He can either mow lawns or work in the local library. What is the opportunity cost if he decides to mow lawns?
A.
the librarian employing another person
B.
the chance to earn by working in a library
C.
the chance to earn by mowing lawns

Answers

Answer:

B.

Step-by-step explanation:

The opportunity cost means what Henry will be missing out on by not working at the library. He loses the chance to earn by working in a library.

Answer:

B.  The chance to earn by working in a library

Step-by-step explanation:

This is a guess

someone pls help lol

Answers

[tex] \sqrt{x { }^{2} -6x + 9} [/tex]

Given x>3 i.e. 4

√4^2 -6*4+ 9

√16 -24 + 9

√25-24

√1

Evaluate the following expression when r= 3 and t = 3.
(2 + r) - 11

Answers

Answer:

-6

Step-by-step explanation:

substitute

(2 + 3) -11

5 - 11

-6

Answer:

The answer is -6

Step-by-step explanation:

First, plug in the numbers into the original equation - (2+(3))-11

Then, simplify.  (5)-11

Simplify one more time.  -6

(I dont see anywhere to use the (t) in your equation)

No links<3
Fill in the missing value!

Answers

Answer:

2.6 and 3

Step-by-step explanation:

The values of the years are being multiplied by 1.3. So when you multiply 2 by 1.3 you would get 2.6. The years are going up by 1 so the year after 2 would be 3.

Is a D a failing grade?

Answers

Answer:

Yes anything under a C

Step-by-step explanation:

Find the value. Need help on these questions ASAP

Answers

Answer:

7) Option D.

8) Option C.

9) Option C.

10) Option A.

Step-by-step explanation:

7) The "x" value can be found using the following trigonometrical identity:

[tex] sin(30) = \frac{12}{x} [/tex]

[tex] x = \frac{12}{sin(30)} = 24 [/tex]

Since "x" (the hypotenuse) is related to the opposite side by sin(θ).

So, the correct option is D.

8) The "y" value can be calculated with tan(θ):

[tex] tan(30) = \frac{12}{y} [/tex]

[tex] y = \frac{12}{tan(30)} = \frac{12}{\frac{\sqrt{3}}{3}} = 12\sqrt{3} [/tex]

Hence, the correct option is C.

9) The hypotenuse can be calculated with cos(θ):

[tex] cos(45) = \frac{5\sqrt{2}}{x} [/tex]

[tex] x = \frac{5\sqrt{2}}{cos(45)} = \frac{5\sqrt{2}}{\frac{\sqrt{2}}{2}} = 10 [/tex]

Thus, the correct option is C.

10) The value of the sides can be found by Pitagoras:

[tex] h^{2} = x^{2} + x^{2} [/tex]

[tex] x = \sqrt{\frac{h^{2}}{2}} = \sqrt{\frac{(12\sqrt{5})^{2}}{2}} = \sqrt{360} = 6\sqrt{10} [/tex]

Therefore, the correct option is A.

I hope it helps you!

Which expression is equivalent to the given expression?
4 ln x+ In 3 – In x

A. In(3x+3)
B. In(x^4 - x+3)
C. In(3x^3)
D. In(11x)

Answers

Answer:

C

Step-by-step explanation:

Using the rules of logarithms

loga + logb = log(ab)

loga - logb = log([tex]\frac{a}{b}[/tex] )

log[tex]x^{n}[/tex] ⇔ nlogx

Given

4lnx + ln3 - lnx

= 3lnx + ln3

= lnx³ + ln3

= ln(x³ × 3)

= ln(3x³) → C

Which of the following is not a type of correlation associated with scatterplots?
A. no correlation
B. positive correlation
C. negative correlation
D. indefinite correlation
Please select the best answer from the choices provided

Answers

The type of correlation not associated with scatterplots is an indefinite correlation

What is correlation?

Correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data.

Correlation can only be between -1 and 1 but not outside these values.

The types of correlation that we have to include:
no correlationpositive correlationnegative correlation

Hence the type of correlation not associated with scatterplots is an indefinite correlation

Learn more on correlation here: https://brainly.com/question/26172866

PLs, help me with this geometry question.

Answers

Answer:

x = 49

Step-by-step explanation:

The central angle AOB is equal to the measure of the arc that subtends it, so

∠ AOB = 82°

OA = OB ( both radii of the circle ), then Δ AOB is isosceles and the 2 base angles are congruent, then

x = [tex]\frac{180-82}{2}[/tex] = [tex]\frac{98}{2}[/tex] = 49

Other Questions
During the Egg Drop lab sim you manipulated several variables like height, egg mass and impact surface. If you dropped a large egg from 10 meters which one condition would allow the best chance for the egg to survive unbroken? 45 is what percent of 82what percent of 5 is 26 Round each answer to the nearest TENTH! HELP FINALS TODAY :( write an article review on an article of your choice ALGEBRA 1!!!! TY!!1. f(x)+g(x) . Solve it algebraically and then graph the result on the same graph above. (Creating a table for each function might be helpful as well)2. Is there a way of determining the graph of f(x)+g(x) without solving it algebraically? Explain your thinking below. If you do not notice a pattern then try the combination f(x)=x+2 and g(x)=1. Compounda)magnesium+carbon+oxygenb)copper+sultry+oxygenc)barium+nitrogen+oxygen whos joe this is very important Three friends go to the movies and spend a total of $75.00. Each friend bought a ticket and a small popcorn that cost $8.25 how much was each ticket Determine whether each element of the set {7,8,9} makes the inequality 2x3 6 friends go out for dinner and the bill for food and drink comes to 140. The friends decide to add a 20% tip on top of this total. If they divide the expense equally between them, how much does each friend pay? de que manera la union europea representa una forma politica de actuar que pretende cambiar la historia de occidente? Adam Smith's phrase "invisible hand" refers toA. the subtle and often hidden methods that businesses use to profit at consumers' expense.B. the ability of free markets to reach desirable outcomes, despite the self-interest of market participants.C. the ability of government regulation to benefit consumers, even if the consumers are unaware of the regulations.D. the way in which producers or consumers in unregulated markets impose costs on innocent bystanders Avagadros number:A: Is constant irrespective of mass of the gasesB: Varies according to the mass of the gasesC: Varies according to the pressure on the gasesD: All of the Above does net force stay the same when a massless pulley is replaced by a pulley with mass please i need help!!!!!!! Find Surface area of the prism!!!!! please help me!!!! Making Inferences Why doyou feel pain when you pull onyour hair or nails, but not whenyou cut them? If g(x)=x2 - 5 and 1(x)=7x-11, then what is the value of h(g(3)) ? Which of the following is most likely the next step in the series? Find Q A. 40B. 80C. 130D. 260 Select the correct answer.Why is Pat Scully a master of strategy?A. He was trained as a classical painter.B. He painted the hotel the color found on the legs of a heron.C. He built the hotel between the train and the town.D. He painted the hotel an eye-catching color.