Solution of Triangles & Trig Equations2 questions2 PYQ

Solution of Triangles & Trig Equations — JEE Maths Practice Questions & Solutions

2 questions on Solution of Triangles & Trig Equations with full step-by-step solutions, including past-year (PYQ) problems. Free to practice.

mediumPYQ · JEE Main 2026
If S={θ∈[−π,π]:cos⁡θcos⁡5θ2=cos⁡7θcos⁡7θ2}S=\left\{\theta\in[-\pi,\pi]:\cos\theta\cos\dfrac{5\theta}{2}=\cos7\theta\cos\dfrac{7\theta}{2}\right\}, then n(S)n(S) equals
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mediumPYQ · JEE Main 2026
Let S={x∈[−π,π]:sin⁡x(sin⁡x+cos⁡x)=a, a∈Z}S=\{x\in[-\pi,\pi]:\sin x(\sin x+\cos x)=a,\ a\in\mathbb{Z}\}. Then n(S)n(S) is equal to
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