The trigonometric identity tan 2-2tan -1-tan2- is valid for every -

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Trigonometric Ratios of Multiples of an Angle

The trigonome...

Question

The trigonometric identity $tan 2 θ = \frac{2 tan θ}{1 - {tan}^{2} θ}$ is valid for every $θ \in R .$

True

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False

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Prove the following trigonometric identities:

$\frac{(1 + c o t^{2} θ) t a n θ}{s e c^{2} θ} = c o t θ$

(1 - tan θ) (1 + tan θ) {sec}^{2} θ + 2^{{tan}^{2} θ} = 0

θ

(- \frac{π}{2}, \frac{π}{2})

2 {tan}^{2} θ = {sec}^{2} θ

θ

Trigometric identities are valid for all real values where as trigonometric equations are valid for only some values.

\frac{s i n x + c o s x}{c o s^{3}} = t a n^{3} x + t a n^{2} x + t a n x + 1.

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