Find the value of other five trigonometric functions if sin x = 3/5, and x lies in second quadrant.

Irene Carter

Irene Carter

Answered question

2023-01-13

Find the value of other five trigonometric functions if sin x = 3 5 , and x lies in second quadrant.

Answer & Explanation

Steinunniqhd

Steinunniqhd

Beginner2023-01-14Added 9 answers

We have sin x = 3 5
Then sin 2 x = cos 2 x = 1 ( 3 5 ) 2 + cos 2 x = 1 cos 2 x = 1 9 25 cos 2 x = 16 25 cos x = ± 4 5
But x lies in second quadrant.
cos x = 4 5
Then csc x = 1 sin x = 5 3 sec x = 1 cos x = 5 4 tan x = sin x cos x = 3 5 4 5 = 3 4 cot x = cos x sin x = 4 3

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