Please solve the following identities -
1. $(s e c θ + \cos θ) (s e c θ - \cos θ) = \tan^{2} θ + \sin^{2} θ .$
2. $\frac{\cos θ}{1 - \sin θ} = \frac{1 + \sin θ}{\cos θ}$

Question

Please solve the following identities -
1 s e c   θ   +   cos   θ s e c
  θ   -   cos   θ   =   tan
2   θ   +   sin 2   θ
2 cos   θ 1   -   sin   θ   =
  1   +   sin   θ cos   θ

Pranav Kumar · Accepted Answer

Dear student,
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regards

Please solve the following identities - 1. s e c θ + cos θ s e c θ - cos θ = tan 2 θ + sin 2 θ . 2. cos θ 1 - sin θ = 1 + sin θ cos θ

Please solve the following identities -
1. $(s e c θ + \cos θ) (s e c θ - \cos θ) = \tan^{2} θ + \sin^{2} θ .$
2. $\frac{\cos θ}{1 - \sin θ} = \frac{1 + \sin θ}{\cos θ}$