Trigonometric Ratios3 questions3 PYQ

Trigonometric Ratios — JEE Maths Practice Questions & Solutions

3 questions on Trigonometric Ratios with full step-by-step solutions, including past-year (PYQ) problems. Free to practice.

mediumPYQ · JEE Main 2026
If sin⁡(π18)sin⁡(5π18)sin⁡(7π18)=K\sin\left(\dfrac{\pi}{18}\right)\sin\left(\dfrac{5\pi}{18}\right)\sin\left(\dfrac{7\pi}{18}\right)=K, then the value of sin⁡(10Kπ3)\sin\left(\dfrac{10K\pi}{3}\right) is
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mediumPYQ · JEE Main 2026
The sum of all the integral values of pp such that the equation 3sin⁡2x+12cos⁡x−3=p3\sin^2 x+12\cos x-3=p, x∈Rx\in\mathbb{R}, has at least one solution, is
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easyPYQ · JEE Main 2026
If A=sin⁡3∘cos⁡9∘+sin⁡9∘cos⁡27∘+sin⁡27∘cos⁡81∘A=\dfrac{\sin3^\circ}{\cos9^\circ}+\dfrac{\sin9^\circ}{\cos27^\circ}+\dfrac{\sin27^\circ}{\cos81^\circ} and B=tan⁡81∘−tan⁡3∘B=\tan81^\circ-\tan3^\circ, then BA\dfrac{B}{A} is equal to
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