Solution of Triangles & Trig Equations4 questions4 PYQ

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

4 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={θ∈(−2π,2π):cos⁡θ+1=3sin⁡θ}S=\left\{\theta\in(-2\pi,2\pi):\cos\theta+1=\sqrt3\sin\theta\right\}. Then ∑θ∈Sθ\displaystyle\sum_{\theta\in S}\theta is equal to
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mediumPYQ · JEE Main 2026
Let P={θ∈[0,4π]:tan⁡2θ≠1}P=\{\theta\in[0,4\pi]:\tan^2\theta\ne 1\} and S={a∈Z:2(cos⁡8θ−sin⁡8θ)sec⁡2θ=a2, θ∈P}S=\{a\in\mathbb{Z}:2(\cos^8\theta-\sin^8\theta)\sec2\theta=a^2,\ \theta\in P\}. Then n(S)n(S) is
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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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