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cos (sec^-1 x) is equal to –

sin² 4˚ + sin² 6˚ + sin² 8˚ + sin² 10˚ + ……… + sin² 86˚ =?

Find the value of the given trigonometric expression:

(sin 40°cos 50° + cos²40°) × sin 30° + (cos 60°tan 45°) × sec 60°

If sec 4A = cosec (3A - 50°), where 4A and 3A are acute angles, find the value of A + 75.

If cosec²A = (sin60^o + tan45^o X sec²45^o), then find the value of sin²A.

If cos2B = sin(1.5B + 27 ^o), then find the measure of 'B'. 

Simplify the following trigonometric expression: