Prove that sin θ / (1 + cos θ) + (1 + cos θ) / sin θ = 2 cosec θ.

Question

TextCosecant, Secant, and Cotangent as Reciprocal RatiosPythagorean Trigonometric IdentityCBSE PYQ

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Prove that : tan θ/(1 − cot θ) + cot θ/(1 − tan θ) = 1 + sec θ cosec θ

If a sec θ + b tan θ = m and b sec θ + a tan θ = n, prove that a² + n² = b² + m²

Pythagorean Trigonometric Identity

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Use the identity : sin²A + cos²A = 1 to prove that tan²A + 1 = sec²A. Hence, find the value of tan A, when sec A = 5/3, where A is an acute angle.

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The value of (1 − 2 sin² 60°) is same as that of