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Prove that : tan θ/(1 − cot θ) + cot θ/(1 − tan θ) = 1 + sec θ cosec θ
Prove the following trigonometric identity : (cos A – 2 cos³ A)/(2 sin³ A – sin A) = cot A
If sin 3A = 1, then find the value of cos 2A – tan² 45°.
If (sec A + tan A) (1 – sin A) = k cos A, then find the value of k.
If sin A = 2/3, then cos A is equal to :
If sec θ - tan θ = 2, then sec θ + tan θ is equal to :
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