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Trigonometric Equations — JEE Main PYQs

59 previous year questions on Trigonometric Equations (Mathematics), newest first. Open any question for its complete step-by-step solution.

Let $S = {θ \in [- 2 π, 2 π] : 2 cos^{2} θ + 3 sin θ = 0}$ . Then the sum of the elements of $S$ is:
JEE Main 2019View solution →
The sum of all values of $θ \in (0, \frac{π}{2})$ satisfying $sin^{2} 2 θ + cos^{4} 2 θ = \frac{3}{4}$ is:
JEE Main 2019View solution →
The number of solutions of the equation $1 + sin^{4} x = cos^{2} 3 x, x ε [- \frac{5 π}{2}, \frac{5 π}{2}]$ is :
JEE Main 2019View solution →
Let S be the set of all $α \in R$ such that the equation, $cos 2 x + α sin x = 2 α - 7$ has a solution. Then S is equal to :
JEE Main 2019View solution →
If $0 \leq x < \frac{π}{2}$ , then the number of values of $x$ for which $sin x - sin 2 x + sin 3 x = 0$ , is
JEE Main 2019View solution →
If sum of all the solutions of the equation $8 cos x \cdot (cos (\frac{π}{6} + x) \cdot cos (\frac{π}{6} - x) - \frac{1}{2}) = 1$ in $[0, π]$ is $k π$ , then k is equal to :
JEE Main 2018View solution →
If $0 \leq x < 2 π$ , then the number of real values of $x$ , which satisfy the equation $cos x + cos 2 x + cos 3 x + cos 4 x = 0$ is:
JEE Main 2016View solution →
The equation $e^{s i n x} - e^{- s i n x} - 4 = 0$ has
JEE Main 2012View solution →
The number of values of $x$ in the interval $[0, 3 π]$ satisfying the equation $2 sin^{2} x + 5 sin x - 3 = 0$ is
JEE Main 2006View solution →