Question

1 /1 + sin θ + 1/ 1 − sin θ = 2 sec2 θ
pls prove

Answer 1

Answer:

Hence proved

Step-by-step explanation:

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Answer 2

LHS

$\frac{1 }{1 + \sin θ } + \frac{1}{1 - \sin θ} \\ = > \: \: \frac{1 - sin θ + 1 +sin θ }{1 -sin ^{2} θ} \\ = > \: \: \frac{2}{ \cos ^{2} θ} \\ = > \: \: \: 2 \sec ^{2} θ = RHS$

Hence Proved.

Note:

$1 -sin^2θ = \cos ^{2} θ \\ \frac{1}{cos ^{2} θ} = \sec ^{2} θ$