Prove the following trignometric identities- tan-1-tan-sec-cosec-

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Trigonometric Identities

Prove the fol...

Question

Prove the following trignometric identities:

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

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Prove the following trigonometric identities:

$\frac{t a n θ}{1 - c o t θ} + \frac{c o t θ}{1 - t a n θ} = 1 + t a n θ + c o t θ$

Prove the following trignometric identities:

$t a n^{2} θ c o s^{2} θ = 1 - c o s^{2} θ$

\frac{tan θ}{1 - cot θ} + \frac{cot θ}{1 - tan θ} = 1 + sec θ cos e c θ

Prove the following trignometric identities:

$c o s e c θ \sqrt{1 - c o s^{2} θ} = 1$

\frac{tan θ}{1 - cot θ} + \frac{cot θ}{1 - tan θ} - sec θ c o s e c θ =

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