New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Trigonometric Functions and Equations question

2025 · 7 Apr · Shift 2 · Q38

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Trigonometric Functions and Equations
2025 · 7 Apr · Shift 2 · Q38

Trigonometric Functions and Equations question

2025 · 7 Apr · Shift 2 · Q38

JEE MainMathematicsTrigonometric Functions and EquationsMCQ+4 / −1

The number of solutions of the equation

\cos 2\theta \cos \frac{\theta}{2} + \cos \frac{5\theta}{2} = 2\cos^3 \frac{5\theta}{2}

in

\left[ -\frac{\pi}{2}, \frac{\pi}{2} \right]

is :

A
5
B
7
C
6
D
9

More from Trigonometric Functions and Equations

The sum of all values of $θ \in [0, 2 π]$ satisfying $2 sin^{2} θ = cos 2 θ$ and $2 cos^{2} θ = 3 sin θ$ is2025 · MCQ
The number of solutions of the equation $4 sin^{2} x - 4 cos^{3} x + 9 - 4 cos x = 0; x \in [- 2 π, 2 π]$ is :2024 · MCQ
Let $S = {sin^{2} 2 θ : (sin^{4} θ + cos^{4} θ) x^{2} + (sin 2 θ) x + (sin^{6} θ + cos^{6} θ) = 0$ has real roots $}$ . If $α$ and $β$ be the smallest and largest elements of the…2024 · Numerical
The number of solutions of $sin^{2} x + (2 + 2 x - x^{2}) sin x - 3 (x - 1)^{2} = 0$ , where $- π \leq x \leq π$ , is .2024 · Numerical
Let $∣ cos θ cos (60 - θ) cos (60 + θ) ∣ \leq \frac{1}{8}, θ ϵ [0, 2 π]$ . Then, the sum of all $θ \in [0, 2 π]$ , where $cos 3 θ$ attains its maximum value, is :2024 · MCQ
If $2 tan^{2} θ - 5 sec θ = 1$ has exactly 7 solutions in the interval $[0, \frac{nπ}{2}]$ , for the least value of $n \in N$ , then $\sum_{k = 1}^{n} \frac{k}{2 ^{k}}$ is equal to:2024 · MCQ
If $α, - \frac{π}{2} < α < \frac{π}{2}$ is the solution of $4 cos θ + 5 sin θ = 1$ , then the value of $tan α$ is2024 · MCQ
The sum of the solutions $x \in R$ of the equation $\frac{3 c o s 2 x + c o s ^{3} 2 x}{c o s ^{6} x - s i n ^{6} x} = x^{3} - x^{2} + 6$ is2024 · MCQ