Prove the identity: sec x-cos x=tan x sin x

invioor

invioor

Answered question

2022-07-15

Prove the identity:
sec x cos x = tan x sin x

Answer & Explanation

Salma Bradley

Salma Bradley

Beginner2022-07-16Added 13 answers

sec x cos x = tan x sin x
1 cos x cos x 1 = tan x sin x
1 cos x cos 2 x cos x
= 1 cos 2 x cos x       [ sin 2 x + cos 2 x = 1 ] sin 2 x = 1 cos 2 x
= sin x sin x cos x
= sin x cos x sin x
= tan x sin x
Jeffrey Jordon

Jeffrey Jordon

Expert2022-08-01Added 2605 answers

Answer is given below (on video)

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