Question

Prove it:-
$\frac{1}{1 + \sin(a) } + \frac{1}{1 - \sin(a) } = 2 { \sec(a) }^{2}$
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Answer 1

Answer:

Step-by-step explanation:

From LHS,

(1-sinA)+(1+sinA)/(1+sinA)(1-sinA)

=>1-sinA+1+sinA/1-sin^2A

=>2/cos^2A

=>2×1/cos^2A=2sec^2A=RHS