Answers
Answer: D
Step-by-step explanation:
The solution is, the required value is cot(π/3) = √3/3
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
here, we have,
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
here, we have,
we know that,
note :
cot a = cosa /sina
here,
so : cot(π/3) = cos(π/3)/sin(π/3)
but : cos(π/3) = 1/2
and sin(π/3) = √3 /2
now, we get,
cot(π/3) = (1/2) / (√3 /2)
= (1/2)×(2/√3 )
= 1/√3
= (1×√3)/( √3 ×√3)
= √3/3
Hence, The solution is, the required value is cot(π/3) = √3/3
To learn more about trigonometric relations click :
brainly.com/question/14450671
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