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.

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Trigonometric Ratios of 30 Degrees, Theorem on Equal Length of Tangents from External Point | PadhAiPro

Question

TextTrigonometric Ratios of 30 DegreesTheorem on Equal Length of Tangents from External PointCBSE PYQ

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

TextTrigonometric Ratios of 30 DegreesTrigonometric Ratios of 45 DegreesTrigonometric Ratios of 60 Degrees

In the adjoining figure, PA and PB are tangents to a circle with centre O such that ∠P = 90°. If AB = 3√2 cm, then the diameter of the circle is

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

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