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

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

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 $3 \sin \theta = 2 \sin 3 \theta$ 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