Prove the following trigonometric identities-cosec-sin-cosec-sin- 2-cos 2-

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Trigonometric Ratios of Multiples of an Angle

Prove the fol...

Question

Prove the following trigonometric identities.

(cosecθ + sinθ) (cosecθ − sinθ) = cot²θ + cos²θ

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(c o sec θ + sin θ) (c o sec θ - sin θ) = {cot}^{2} θ + {cos}^{2} θ

\frac{{cos}^{2} θ}{{cot}^{2} θ - {cos}^{2} θ} = 3, 0^{\circ} < θ < 90^{\circ}

cosec θ \sqrt{1 - \cos^{2} θ} = 1

\frac{1 - sin θ}{1 + sin θ}

{sin}^{2} θ + {cos}^{2} θ = 1

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