Show that the following is true (sin 2x−cos 2x−1)/(sin^2 x−cos^2 x)=(2)/(tan x+1)

spasiocuo43

spasiocuo43

Answered question

2022-11-15

Show that the following is true
sin 2 x cos 2 x 1 sin 2 x cos 2 x = 2 tan x + 1

Answer & Explanation

Nigerkamg5

Nigerkamg5

Beginner2022-11-16Added 20 answers

If you are starting from the LHS, you will want to convert double angles to single angles to obtain the RHS:
sin 2 x cos 2 x 1 sin 2 x cos 2 x = 2 sin x cos x ( 2 cos 2 x 1 ) 1 sin 2 x cos 2 x = 2 cos x ( sin x cos x ) ( sin x + cos x ) ( sin x cos x ) = 2 tan x + 1

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