JEE Main · 2026 · 24 Jan 2026 · Shift 2 · Trigonometric Equations

More JEE Main questions on Trigonometric Equations

1. Number of solutions of $\sqrt{3}\cos 2\theta +8\cos \theta +3\sqrt{3}=0,\theta \in [-3\pi ,2\pi ]$ is:
   JEE Main 2026 Copy linkView solution →
2. Let $S=\{x\in [-\pi ,\pi ]:\sin x(\sin x+\cos x)=a$, $a\in \mathbf{Z}\}$. Then $n(S)$ is equal to :
   JEE Main 2026 Copy linkView solution →
3. If $S=\left\{\theta \in [-\pi ,\pi ]:\cos \theta \cos \frac{5\theta }{2}=\cos 7\theta \cos \frac{7\theta }{2}\right\}$, then $\mathrm{n}(\mathrm{S})$ is equal to
   JEE Main 2026 Copy linkView solution →
4. Let $\mathrm{S}=\{\theta \in (-2\pi ,2\pi ):\cos \theta +1=\sqrt{3}\sin \theta \}$.
   
   Then ${\sum }_{\theta \in \mathrm{S}}\theta$ is equal to:
   JEE Main 2026 Copy linkView solution →
5. The sum of all values of $\theta \in [0,2\pi ]$ satisfying $2{\sin }^2\theta =\cos 2\theta$ and $2{\cos }^2\theta =3\sin \theta$ is
   JEE Main 2025 Copy linkView solution →
6. Let
   $\mathrm{A}=\left\{\mathrm{x}\in (0,\pi )-\left\{\frac{\pi }{2}\right\}:{\log }_{(2/\pi )}|\sin \mathrm{x}|+{\log }_{(2/\pi )}|\cos \mathrm{x}|=2\right\}$
   and
   $B=\{x\ge 0:\sqrt{x}(\sqrt{x}-4)-3|\sqrt{x}-2|+6=0\}$. Then $\mathrm{n}(\mathrm{A}\cup \mathrm{B})$ is equal to:
   JEE Main 2025 Copy linkView solution →