Prove that sin(x) + tan(x) = 1 + sec(x)/csc(x) by using trigonometric identities.

Answers

Answer 1

Answer:

Step-by-step explanation:

sin(x) + tan(x) =sin(X) + sin(x)/cos(x)

=sinx(1+1/cosx)

=Sinx(1+secx)

=1+secx/cosecx. (Since sinx=1/cosecx)

Hence LHS=RHS proved


Related Questions

Which three lengths
cannot be the lengths of
the sides of a triangle?
a) 13, 11, 14
b) 17,5, 10
c) 21, 16, 14
d) 8, 9, 14

Answers

Answer:

B)

Step-by-step explanation:

You need to add the first 2 numbers and the answer needs to be bigger than the third number and if you add 10 + 5 will be 15 and the third number is 17, so the answer of this is the B

Pls help me find the slope

Y(-5,0), Z(-2,-4)

Answers

Answer:

     -4 / 3

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -4 -0)/( -2 - -5)

     ( -4 -0)/( -2 +5)

     -4 / 3

Answer:

[tex]m=\frac{-4}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Y (-5, 0)

Z (-2, -4)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-4-0}{-2+5}[/tex]Subtract/Add:               [tex]m=\frac{-4}{3}[/tex]

If two angles of a triangle measure 20 and 130 degrees, what is the measure of the third angle?

A.) 40°
B.) 50°
C.) 30°
D.) 60°

Answers

Answer:

c.) 30 degrees

Step-by-step explanation:

the sum of the angles of a triangle is 180 degrees

so if the third angle was x

then

x=180-(20+130)

x=180-150

x=30 degrees

The measure of third angle is 30 degree.

What is Angle Sum property?

The total of a triangle's three internal angles is 180 degrees, as stated by the angle sum feature of a triangle. A closed shape with both inner and exterior angles, a triangle is created by three line segments.

Given:

Two angles are 20 and 130.

Using Angle sum property of triangle

<1 + <2 + <3 = 180

20+ 130 + <3= 180

150 + <3 = 180

<3 = 180- 150

<3 = 30

Hence, the third angle is 30 degree.

Learn more about Angle Sum property here:

https://brainly.com/question/4316040

#SPJ2

a team of divers assembles at an elevation of -10 ft relative to the surface of the water. Then the team dives at a rate of the water. Then the team dives at a rate of -50ft/min. Write a rule that represents the teams depth d as a function of time t. What is the team's depth after 3 minutes?

Answers

Answer: The team will be 160 feet below sea level after 3 minutes.

Step-by-step explanation:

If the team is at -10 ft relative to sea level then it means that they are 10 feet below sea level, and if they also going  -50 ft per minute, it also means that they are still going below sea level.

The rule will be,     d= -50t -10        

If t is the time, input 3 minutes into  the equation for t and solve for d to find their depth.

d= -50(3) - 10

d= -150 - 10

d= -160

True or False: |18 - 7| = |18|+ |-7|

Answers

Answer:

False.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

|Absolute Value| - makes any number positive

Step-by-step explanation:

Step 1: Define

|18 - 7| = |18| + |-7|

Step 2: Check

Subtract:                    |11| = |18| + |-7|Evaluate:                    11 = 18 + 7Add:                           11 ≠ 25

Here we see that 11 does not equal 25.

∴ The statement is false.

Answer:

false

Step-by-step explanation:

because th abosulte value of negative 7 is positive 7 then the equation would not be equal

identify property for -9/7 x -7/9 = 1

Answers

Answer:x = −112/81

Step-by-step explanation:

Using no digits other than 5 and 8, make a 6-digit number, that has the properties below. If it is impossible, write so. Of course you may use each digit more than once. c A multiple of 5, but not a multiple of 15.

Answers

Answer:

Doing this would be impossible

Step-by-step explanation:

Doing this would be impossible. This is because the final digit and the first digit in the 6-digit number would always be a 5 or an 8. This means that the entire 6-digit number will either be completely divisible by both 5 and 15 or neither. Therefore not meeting the requirements that have been set. So in conclusion, this would be impossible to do by using only 5's and 8's as the single digits.

please help I am doing a timed test I will choose brainliest

Write the standard form of the equation of a line with a slope of 3 passing through the point (-5, -6).

Select one:
a. -x + 3y + 13 = 0
b. -3x + y - 9 = 0
c. 3x - y + 9 = 0
d. x - 3y - 13 = 0

Answers

Answer:

Step 1: We need to first find the equation of the line in slope-intercept form by finding b, or the y-intercept.

[tex]-6 = 3(-5) + b\\\\-6 = -15 + b\\\\9 = b[/tex]

Step 3: We now need to write the equation of the line in slope-intercept form.

[tex]y = 3x + 9[/tex]

Step 3: Now we convert the above equation from slope-intercept form to standard form.

[tex]y = 3x + 9\\\\-3x + y = 9\\\\-3x + y - 9 = 0[/tex]

Our equation in standard form is: B. -3x + y - 9 = 0.

I need help asap no rocky

Answers

I think its 2346483

Step-by-step explanation:

use the law of exponents to rewrite (5^9)^2

will give brainiest and 50 point bet u do not get it right

Answers

Answer:

I'm pretty sure it's:

5x5x5x5x5x5x5x5x5 x 2x2


Why is it impossible to represent a vertical line using the slope-intercept form and the point-slope form of a linear equation?

Answers

Answer:

Both equations include the slope, which is undefined for a vertical line.

Step-by-step explanation:

it just is lol

Brianna bought a bicycle for $275.It is now on sale for $150. Find the percent of change of change in the price. Round to the nearest percent.

Answers

Answer:

45%

Step-by-step explanation:

First we find the difference between the prices,

[tex]275-150[/tex]

is 125

and

[tex]125/275=0.454545454545.....[/tex]

which in percentage is

[tex]45.4545454...[/tex]

and that rounds to 45%

Help me again!!!!!!

!!!!

Answers

The answer is D. $15a+$10c=$225

Answer:

D

Step-by-step explanation:

the part two shows that 20 tickets were purchased adult and child

adults were 15 dollars and added with the childs10 dollar tickets added togethor to get 225 dollars.

If Dominik completes a project by himself, it will take him 8 hours. Working with Katarina, it will take them 5 hours. If they work together, what is the missing value from the table that represents the part of the project Dominik will complete? 8r 8(5) r (5)

Answers

Hello soldier!! The answer is D! Have a great day <3

Answer:

The answer is: D / 1/8(5)

Step-by-step explanation:

Write an equation of the line that passes through a pair of points:
(-3,1). (-2,-5)

Answers

Answer:

[tex]y=-6x-17[/tex] (B)

Step-by-step explanation:

[tex]y=mx+b\\m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{1--5}{-3--2} = \frac{6}{-1} = -6\\y=-6x+b\\[/tex]

Plug in one of the two points for X and Y

(-3,1)

[tex]1=-6(-3)+b\\1=18+b\\b=-17\\\\y=-6x-17[/tex]

Witch fraction is not in simplest form 5/15 or 5/12

Answers

5/15, it can still be divided by 5
5/15 in simplest form is 1/5

does anyone know this?

Answers

1.37x10^9 is the correct answer:)

Answer:

1.37×10^9 is in scientific notation

In the middle of a very cold winter night the temperature outside is -20'c at nine o'clock in the morning it has become 30 degrees warmer. What is the temperature at nine o'clock

Answers

Answer:

10°c

Step-by-step explanation:

-20°c + 30° = 10°c

Can I get Brainliest? Plz!

Suppose that y is inversely proportional to the 4th power of x, and that y=15 when x=5. What is y when x=7? Round your answer to two decimal places if necessary.

Answers

Answer:

y = 3.91 when x =7

Step-by-step explanation:

y = k / x⁴

Where,

k = constant of proportionality

y=15 when x=5

y = k / x⁴

15 = k / 5⁴

Cross product

15 × 5⁴ = k

15 × 625 = k

9,375 = k

What is y when x=7?

y = k / x⁴

= 9,375 / 7⁴

= 9,375 / 2401

= 3.9046230737192

Approximately

y = 3.91

[tex](-4)(-2)-6(2-5)[/tex]

Answers

Answer:

26

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define expression

(-4)(-2) - 6(2 - 5)

Step 2: Evaluate

Parenthesis (Subtract):                    (-4)(-2) - 6(-3)Multiply:                                            8 + 18Add:                                                  26

take a look at the following set of data: 21,74,42,89,51,38,207 what word would describe the data point 133​

Answers

9514 1404 393

Answer:

  "missing"

Step-by-step explanation:

The value 133 is missing from the given data set.

Answer:

missing

Step-by-step explanation:

because its not in the data

−5.55−8.55c+4.35c ples

Answers

Your answer would be -5.55-4.2c

Blake and Josh are both saving money for a new bike. The ratio of Blake's savings to Josh's savings is 3:1. If they have saved $400, how much has each boy saved?

Answers

Given:

Total savings = $400

Ratio of savings of Blake and Josh = 3:1

To find:

The saving of each.

Solution:

Let the savings of Blake and Josh are 3x and x respectively.

According to the question,

[tex]3x+x=400[/tex]

[tex]4x=400[/tex]

Divide both sides by 4.

[tex]x=100[/tex]

Now,

Savings of Blake = 3(100)=300

Savings of Josh =100

Therefore, the savings of Blake and Josh are $300 and $100 respectively.

Write an inequality to equal y < -5

Answers

Answer:

2y - 3 < -13

Hope this helps

A car uses 8.4 liters of petrol for a 112 mile journey. When the tank is full, the car holds 54 liters of petrol. How far should the car be able to travel on a full tank of petrol.

Answers

Answer:

720 miles

Step-by-step explanation:

A car uses 8.4 liters of petrol for a 112 mile journey.

In 1 litres = [tex]\dfrac{112}{8.4}\ \text{miles}[/tex] of journey

We need to find far should the car be able to travel on a full tank of petrol i.e. 54 litres of petrol.

[tex]54\ l=\dfrac{112}{8.4}\times 54\\\\=720\ \text{miles}[/tex]

So, the car can travel 720 miles when it holds 54 lirres of petrol.

Will give brainliest if correct.

Answers

Answer:

slope is 5, y intercept is -7

Step-by-step explanation:

In the form y=mx+c, m is the slope and c is the y-intercept.

Rearrange the formula to fit this form:

5x-y=7

-y=7-5x

y=5x-7

∴m(slope)=5

∴c(y-intercept)=-7


Need this answer ASAP cuz im dumb.


Mr. Scott likes to pose interesting problems to his Mathematics classes. Today,
he started with the expression 6
2020 + 72020. He stated that the expression was
not equivalent to 132020 and that he was not interested in the actual sum. His
question to his class and to you is, “What are the final two digits of the sum?”

Answers

Answer:

40. This is so easy yet so dumb. Why is this even a question?

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Which equation represents a line parallel to ?
A. 2x-4y=28
B. 4x+2y=10
C. 4x-2y=10
D. 2x+4y=10

Answers

Answer:

b

Step-by-step explanation:

How many 2.25-pound containers can you fill with 24.75 pounds of almonds?

Answers

Answer:

You can fill 11 containers.

Step-by-step explanation:

This problem is asking you to divide 24.75 pounds among 2.25 pound holding containers.

So all you must do is divide 2.25 by 24.75. This leaves us with a quotient of 11.


Of the 50 U.S. states, 4 have names that start with the letter W.
What percentage of U.S. states have names that start with the letter W?

Answers

Answer:

0.08 percent

Step-by-step explanation:

Answer:

0.08%

Step-by-step explanation:

i just did 4/50. i know this works because i use it to find my grade percentages.

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Some scientists think that during REMsleep the brain clears out our short-term memory and commitsimportant experiences, such as getting a raise or breaking upwith our sweethearts, to long-term memory. But why we dreamduring this process is still a mystery.4. Some intriguing, though incomplete, ideas have come fromresearchers trying to explain why our brains give us such vividand emotional experiences every night. Sigmund Freud believedthat dreams are expressions of memories and anxieties that weavoid thinking about during our waking lives. Carl Jung provideda modern version of the ancient opinion that dreams aremessages that help us figure out how to avoid disaster, almostlike prophecies. Perhaps the popularity of Jung's interpretation isthe reason that many people keep dream journals, wherein they write down their dream experiences before they forget them.After all, if dreams are messages, one had better not ignore them.5. 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