BITSAT · Mathematics
Trigonometric Equations
22 practice questions for BITSAT — 18 easy · 4 medium · 0 hard. Every question is graded instantly with a step-by-step solution when you miss it.
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MCQ
Number of solutions of equations $\sin 9 \theta=\sin \theta$ in the interval $[0,2 \pi]$ is
MCQ
The range of $(8 \sin \theta+6 \cos \theta)^2+2$ is
MCQ
General solution of $\tan 5 \theta=\cot 2 \theta$ is
MCQ
If $\sec ^2 \theta=\frac{4}{3}$, then the general value of $\theta$ is
MCQ
The sum of all the solution of the equation $\cos \theta \cos \left(\frac{\pi}{3}+\theta\right) \cos \left(\frac{\pi}{3}-\theta\right)=\frac{1}{4}, \theta \in[0,6 \pi]$
MCQ
If $y=\frac{2 \sin \alpha}{1+\cos \alpha+\sin \alpha}$, then value of $\frac{1-\cos \alpha+\sin \alpha}{1+\sin \alpha}$ is
MCQ
The least positive non-integral solution of the equation $\sin \pi\left(x^{2}+x\right)=\sin \pi x^{2}$ is
MCQ
The value of $\sin \left[\mathrm{n} \pi+(-1)^{\mathrm{n}} \frac{\pi}{4}\right], \mathrm{n} \in \mathrm{I}$ is
MCQ
The number of real numbers $λ$ for which the equality $\frac{\sin(λα)}{\sinα}-\frac{\cos(λα)}{\cosα}=λ-1$, holds for all real $α$ which are not integral multiple of $π/2$ is
MCQ
Equation $\sinx+\cos(t+x)+\cos(t-x)=2$ has real solution, then $\sint$ can be
MCQ
The general solution of $\sinx-3\sin2x+\sin3x=\cosx-3\cos2x+\cos3x$ is
MCQ
The general solution of the equation $\sin 2 x+2 \sin x+2 \cos x+1=0$ is