If sin(A + B) = 1 and cos(A − B) = √3/2, 0° < A, B < 90°, find the measure of angles A and B.

Question

TextTrigonometric Ratios of 30 DegreesTrigonometric Ratios of 90 Degrees

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If cos (α + β) = 0, then value of cos((α + β)/2) is equal to :

Evaluate : 2√2 cos 45° sin 30° + 2√3 cos 30°

Trigonometric Ratios of 45 Degrees

Trigonometric Ratios of 60 Degrees

If A = 60° and B = 30°, verify that : sin (A + B) = sin A cos B + cos A sin B

If x(2 tan 30°/(1 + tan² 30°)) = y(2 tan 30°/(1 – tan² 30°)), then x : y =

In the adjoining figure, TP and TQ are tangents drawn to a circle with centre O. If ∠OPQ = 15° and ∠PTQ = θ, then find the value of sin 2θ.

If x = cos 30° – sin 30° and y = tan 60° – cot 60°, then