Trigonometric Functions

JEE Main · Mathematics · 9 past questions

These are the board's own papers. 97 more board questions reprinted in the books we use in class are for signed-in students: sign in.

7 of 9 · show all

1. Q1 2026 2 Apr Shift 1

   If $\sin\left(\dfrac{\pi}{18}\right)\sin\left(\dfrac{5\pi}{18}\right)\sin\left(\dfrac{7\pi}{18}\right) = K$…

   Try it →
2. Q3 2026 2 Apr Shift 2

   Let $P = \{\theta \in [0, 4\pi] : \tan^2\theta \neq 1\}$ and…

   Try it →
3. Q4 2026 4 Apr Shift 1

   If…

   Try it →
4. Q5 2026 5 Apr Shift 1

   Let $\tan A$, $\tan B$, where $A, B \in \left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$, be the roots of the…

   Try it →
5. Q6 2026 5 Apr Shift 1

   The sum of all the integral values of $p$ such that the equation $3\sin^2 x + 12\cos x - 3 = p$…

   Try it →
6. Q8 2026 6 Apr Shift 1

   Let $S=\{\theta\in(-2\pi,2\pi):\cos\theta+1=\sqrt{3}\sin\theta\}$. Then $\sum_{\theta\in S}\theta$ is equal…

   Try it →
7. Q9 2026 8 Apr Shift 2

   Let $\alpha = 3+4+8+9+13+14+\ldots$ up to 40 terms. If $(\tan\beta)^{\frac{\alpha}{1020}}$ is a root of the…

   Try it →