NDA · Mathematics
Trigonometric Equations
23 practice questions for NDA — 1 easy · 21 medium · 1 hard. Every question is graded instantly with a step-by-step solution when you miss it.
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MCQ
How many values of $\theta$, where $-\pi < \theta < \pi$, satisfy both the equations $\cot\theta = -\sqrt{3}$ and $\text{cosec}\,\theta = -2$ simultaneously?
MCQ
What is the number of solutions of $(\sin \theta-\cos \theta)^2$ $=2$ where $-\pi \lt \theta \lt \pi$ ?
MCQ
The complete solution of $3 \tan ^2 x=1$ is given by:
MCQ
What is the number of solutions of the equation $\cot 2 x \cdot \cot 3 x=1$ for $0 < x < \pi ?$
MCQ
If $0 \leq x \leq \dfrac{\pi}{2}$, then what is the number of values of $x$ satisfying the equation $\tan x + \sec x = 2\cos x$?
MCQ
Let $4 \sin ^2 x=3$, where $0 \leq x \leq \pi$. What is $\tan 3 x$ equal to?
MCQ
If $x=y \cos \left(\frac{2 \pi}{3}\right)=z \cos \left(\frac{4 \pi}{3}\right)$, then what is $x y+y z+$ $z x$ equal to?
MCQ
The number of integer values of $k$, for which the equation $2 \sin x=2 k+1$ has a solution, is
MCQ
Consider the equation: $k \sin x+\cos 2 x=2 k-7$ If the equation possesses solution, then what is the maximum value of k ?
MCQ
If $4 \sin ^2 \theta=1$, where $0 \lt \theta \lt 2 \pi$, how many values does $\theta$ take?
MCQ
The equation $\tan ^4 x-2 \sec ^2 x+a^2=0$ will have at least one real solution if
MCQ
If $1+2(\sin x+\cos x)(\sin x-\cos x)=0$ where $0 \lt x \lt 360^{\circ}$, then how many values does $x$ take?