Question #452ac

1 Answer
bp
Jan 25, 2018

Explained below.

Explanation:

It would be easier to prove RHS equal to LHS. Accordingly,

RHS=#1/(cos 2x) - (2tan x)/ (1-tan^2x)#

=#1/(cos^2 x - sin^2 x) - (2sin x cosx)/(cos^2x - sin^2x)#

=# (1- 2sinx cos x)/(cos^2 x - sin^2 x)#

=#(cosx-sin x)^2 /((cosx-sin x)(cos x+ sin x))#

=#(cosx- sinx)/(cos x+ sin x)# =LHS

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