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Peshwa Bajirao I

Prove that n=...

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Prove that n=360/thita -1

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Q. Prove the following trigonometric identities.

If cosec θ + cot θ = m and cosec θ − cot θ = n, prove that mn = 1

n

is an integer, prove that

cos (n π + θ) = {(- 1)}^{n} cos θ

(1 + sec 2 θ) (1 + sec 4 θ) (1 + sec 8 θ) . . . . (1 + sec 2^{n} θ) = tan (2^{n} θ) . cot θ

θ = \frac{π}{2^{n} + 1}

2^{n} cos θ cos 2 θ cos 2^{2} θ . . . . cos 2^{n - 1} θ = 1

sin θ + cos θ = m

sec θ + csc θ = n

, then prove that

n (m^{2} - 1) = 2 m

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