find the identities. sec &#x2061;<!-- ⁡ --> ( c o s ( x &#x2212;<!-- −

Winigefx

Winigefx

Answered question

2022-06-16

find the identities.
sec ( c o s ( x 1 ) 2 cos ( s e c ( a ) 2 = cos ( a ) tan ( a ) 2

Answer & Explanation

Jovan Wong

Jovan Wong

Beginner2022-06-17Added 23 answers

Start by writing
sec a cos a = 1 cos a cos a = 1 cos 2 a cos a
Now, use the fact that sin 2 a + cos 2 a = 1
veirarer

veirarer

Beginner2022-06-18Added 9 answers

L.H.S. = sec a cos a
= 1 cos a cos a
= 1 cos 2 a cos a
= sin 2 a cos a
= sin a sin a cos a
= sin a tan a
= R.H.S.

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