Question

show that 1/cos thita-cos thita=tan thita×sin thita​

Answer 1

LET theta = x ( for simplicity)

$\frac{1}{cos x } - cos x = \frac{1 - cos^2x }{cos x}$

We know that sin^2 x = 1 - cos^2 x

$\frac{sin^2x}{cos x} = tan x . sin x$...............................( tan x = sin x /cos x)

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