Question

Find the trigonometric function of
$\frac{5\pi}{6}$
​

Answer 1

Answer:

Given that , the angle =5π/6

We know that ,

5π/6 is located in the second quatrant so ,

Sin and coses will be positive and tan , cot , sec , coses will be negative .

Then ,

Sin( 5π/6) = sin ( π-π/6) = sin π/6 = 1/2

Cos ( 5π /6) = cos ( π -π/6) = -cos π/6 = -√ 3/2

Tan (5π/6) = tan (π-π/6) = -tan π/6 = -1/√3

Cot (5π/6) = cot (π-π/6) = - cos π/6 = -√3

Sec (5π/6)=cot (π-π/6) = - Sec π/6 = -2/√3

CSC (5π/6) = scs (π-π/6) = CSC π/6 = 2 .

Hence, this is the answer .

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