List of top Mathematics Questions on Trigonometric Equations asked in MHT CET

Find the general solution for \(x\) if \( \cos 4x = \cos 3x \).

If \( \sin\left(\frac{\pi}{4}\cot\theta\right) = \cos\left(\frac{\pi}{4}\tan\theta\right) \), then the general solution of \( \theta \) is: 

The common principal solution of the equations $\sin \theta = -1/2$ and $\tan \theta = 1/\sqrt{3}$ is \dots}
If $\tan(\pi \cos \theta) = \cot(\pi \sin \theta)$, then $\sin\left(\frac{\pi}{4} + \theta\right) = $ ______.
If $0\le x\le\pi$ and $81^{\sin^{2}x}+81^{\cos^{2}x}=30$ Then $x$ takes the value}
If the difference between the maximum and minimum values of the objective function \(z = 7x - 8y\), subject to the constraints \(x + y \le 20, y \ge 5, x, y \ge 0\) is \(5k + 200\), then the value of k is
If the tangent and the normal at the point \((\sqrt{3}, 1)\) to the circle \(x^2 + y^2 = 4\), and the X-axis form a triangle, then the area (in sq.units) of this triangle is
Principal Solution of $ (5 \sin \theta)(2 \cos \theta + 1) = 0 $
Which of the following expressions represents the Principal Solution

If \(1+ (√1+x) tanx = 1+ (√1-x)\)  then \(sin4x\)  is ?

 

Find cos248o - sin212o , if sin18o = (√5 - 1)/4 

Find  \(tan^{-1}[\frac{(1-sin\,x+cos\,x)}{(1+sin\,x-cos\,x)}]\) = ?
Find the value of \(\int\frac{dx}{\,sin^2x\,cos^2x}\) = ?

Find ∫(cos√x) dx=?

If $3 \sin \theta = 2 \sin 3 \theta$ and $0 < \theta < \pi$, then $\sin \theta =$
The principal solutions of $\cot x = \sqrt{3}$ are
The number of solutions of \( \cos 2\theta = \sin \theta \) in \( (0, 2\pi) \) are
The principal solutions of $\sqrt{3} \sec x + 2 = 0$ are
If $x \in \left(0, \frac{\pi}{2}\right)$ and $x$ satisfies the equation $\sin x \cos x = \frac{1}{4}$, then the values of $x$ are
The area of the region bounded by the parabola $x^2=16y$, the lines $y=1$, $y=4$ and the $y$-axis lying in the first quadrant is
If \(2\sin^2 x + 7\cos x = 5\), then the permissible value of \(\cos x\) is
If \(3\cos x \ne 2\sin x\), then the general solution of \[ \sin^2 x-\cos 2x=2-\sin 2x \] is
The general solution of \( \tan \theta + \tan 2\theta = \tan 3\theta \)
If A, B, C are the angles of $\Delta ABC$ then $\cot \, A. \cot \, B + \cot \, B. \cot \, C + \cot \, C. \cot \, A =$