Prove the following trigonometric identities-tan 2-sin 2-tan 2-sin 2-

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Trigonometric Ratios of Multiples of an Angle

Prove the fol...

Question

Prove the following trigonometric identities.

tan²θ − sin²θ = tan²θ sin²θ

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{tan}^{2} θ - {sin}^{2} θ = {tan}^{2} θ {sin}^{2} θ

Prove the following trigonometric identities:

$\frac{(1 + s i n θ)^{2} + (1 - s i n θ)^{2}}{2 c o s^{2} θ} = \frac{1 + s i n^{2} θ}{1 - s i n^{2} θ}$

t a n^{2} Θ - s i n^{2} Θ = t a n^{2} Θ s i n^{2} Θ

{tan}^{2} θ - {sin}^{2} θ = {tan}^{2} θ {sin}^{2} θ

(1 + {cot}^{2} θ) (1 - cos θ) (1 + cos θ) = 1

(1 + {tan}^{2} θ) {sin}^{2} θ = {tan}^{2} θ

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