1-1-sinA-1-1-sinA-2sec2A

1/1 sinA+1/1+sinA =(1+sinA+1 sinA)/(1 sinA)(1+sinA) =2/(1 sin^2A) =2/cos^2A [∵, sin²A+cos²A=1] =2sec²A (Proved) ...

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Trigonometric Identities

1/1-sinA+1/1+...

Question

$\frac{1}{1 - s i n A} + \frac{1}{1 + s i n A} = 2 s e c^{2} A$

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\frac{1}{(1 + sin A)} + \frac{1}{(1 - sin A)} = 2 {sec}^{2} A

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