Evaluate : 2√2 cos 45° sin 30° + 2√3 cos 30°
If A = 60° and B = 30°, verify that : sin (A + B) = sin A cos B + cos A sin B
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If x = cos 30° – sin 30° and y = tan 60° – cot 60°, then
If x = 2 sin 60° cos 60° and y = sin²30° − cos²30° and x² = ky², the value of k is
Prove the following trigonometric identity : (1 + cosec A)/cosec A = cos² A/(1 − sin A)
Let 2A + B and A + 2B be acute angles such that sin(2A + B) = √3/2 and tan(A + 2B) = 1. Find the value of cot(4A − 7B).