Prove that. tan x+(cos x)/(1+sin x)=sec x

restgarnut

restgarnut

Answered question

2022-09-06

Prove that.
tan x + cos x 1 + sin x = sec x

Answer & Explanation

Cameron Benitez

Cameron Benitez

Beginner2022-09-07Added 17 answers

write cos x as cos x cos x / cos x = ( 1 sin x sin x ) / cos x
so, tan x + ( 1 sin x sin x ) / cos x ( 1 + sin x ) = sin x / cos x + ( 1 sin x ) / cos x = 1 / cos x ( sin x + 1 sin x )
= 1 / cos x
= sec x

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