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If x = r sin A cos B, y = r sin A sin B and z = r cos A, then find x² + y² + z².
In triangle ABC, ∠A - ∠B = 16 ° , whereas ∠A - ∠C = 8 ° , find ∠B.
If tan 4θ = cot 14θ, then find the value of cos 9θ.
Find the value of (1 - sin2q) X (secq + tanq) X (secq - tanq) X cosec2q
If sin(x + y) = 3/5 and cos(x - y) = 12/13, where x, y ∈ [0, π/2], find sin(2x) + sin(2y).
A man is standing at a point 20 meters away from a vertical tower. The angle of elevation from the point to the top of the tower is 60°. Find the heigh...
The value of sec2 45˚ + 2 tan 135˚ is –
Simplify: sin (A + B) sin (A - B)