List of top Mathematics Questions on Trigonometric Functions asked in JEE Main

For a triangle $A B C$, the value of $\cos 2 A+\cos 2 B+\cos 2 C$ is least If its inradius is $3$ and incentre is $M$, then which of the following is NOT correct?

Let f_n = $\int\limits_0^{\pi/2}$ $\left(\displaystyle\sum_{k=1}^{n}\,sin^{k-1}x\right)\left(\displaystyle\sum_{k=1}^{n}\,(2k-1)sin^{k-1}x\right)$ cosx dx, n ∈ N. Then f₂₁ – f₂₀ is equal to____.

The number of values of x in the interval $(\frac \pi 4, \frac {7\pi }{4})$ for which $14cosec^2x – 2sin^2x = 21 – 4cos^2x$ holds, is ______.

The number of solutions of the equation $2\theta - \cos^2(\theta) + \sqrt{2} = 0$ in R is equal to ___________.

The value of $\log_e2\frac{d}{dx}(\log_{cos⁡ x}\cosec x) $ at $x=\frac{\pi}{4}$ is

The number of elements in the set $S = \{ \theta \in [-4\pi, 4\pi] : 3 \cos^2(2\theta) + 6 \cos^2(\theta) - 10\cos(2\theta) + 5 = 0 \}$ is______.

$50 tan$ $\left (3tan^{-1} (\frac{1}{2}) + 2 cos^{-1} (\frac{1}{√5})\right) + 4\sqrt2 tan \left (\frac{1}{2} tan^{-1} (2\sqrt2)\right)$ is equal to ____.

A possible value of $\tan \left(\frac{1}{4} \sin ^{-1} \frac{\sqrt{63}}{8}\right)$ is :

if 0<x, y<$\pi$ and cosx+cosy-cos(x y)=$\frac{3}{2}$,Then sin x+cos y=?

The sum of solutions of the equation cos$\frac{cos\,x}{1+sin\,x}$=|tan 2x|,x$\in$($-\frac{\pi}{2},\frac{\pi}{2}$)-($-\frac{\pi}{4},\frac{\pi}{4}$) is:

If $L=\sin ^{2}\left(\frac{\pi}{16}\right)-\sin ^{2}\left(\frac{\pi}{8}\right)$ and $M=\cos ^{2}\left(\frac{\pi}{16}\right)-\sin ^{2}\left(\frac{\pi}{8}\right),$ then :

Consider a triangular plot $ABC$ with sides $AB = 7m, BC = 5m$ and $CA = 6m$. A vertical lamp-post at the mid point $D$ of $AC$ subtends an angle $30^{\circ}$ at $B$. The height (in $m$) of the lamp-post is:

If $0 \le x < \frac{\pi}{2}$ , then the number of values of $ x$ for which $sin \,x-sin\,2x+sin\,3x = 0$, is

If [$x$] denotes the greatest integer $\le x$, then the system of linear equations [$sin\,\theta$] x + [$-cos\,\theta$]y=0 [$cot\,\theta$] $x + y = 0$

The value of cos $^2 10^{\circ} - cos10^{\circ} cos50^{\circ} + cos^2 50^{\circ}$

The value of $\cos \frac{\pi}{2^{2}} .\cos \frac{\pi}{2^{3} } . ...... .\cos \frac{\pi}{2^{10}} .\sin \frac{\pi}{2^{10}} $ is :

$PQR$ is a triangular park with $PQ = PR = 200 \,m. A \,T.V$. tower stands at the mid-point of $QR$. If the angles of elevation of the top of the tower at $P, Q $ and $R$ are respectively $45^{\circ}, 30^{\circ}$ and $30^{\circ}$, then the height of the tower (in m) is :

If sum of all the solutions of the equation $8 \cos x.\left(\cos \left(\frac{\pi}{6} + x\right). \cos\left(\frac{\pi}{6} - x\right) - \frac{1}{2}\right)= 1 $ in $\left[0, \pi\right]$ is $ k \pi $, then $k$ is equal to :

Let a vertical tower $AB$ have its end $A$ on the level ground. Let $C$ be the mid-point of $AB$ and $P$ be a point on the ground such that $AP = 2AB$. If $\angle BPC = \beta $, then tan $\beta$ is equal to :

Let $P = \{ \theta : \sin \theta - \cos \theta = \sqrt{2} \cos \theta \}$ and $Q = \{\theta : \sin \theta + \cos \theta = \sqrt{2} \sin \theta \}$ be two sets. Then :

If the angles of elevation of the top of a tower from three collinear points $A , B$ and $C$ on a line leading to the foot of the tower are $ 30^\circ, \, 45^\circ$ and $ 60^\circ$ respectively, then the ratio $AB : BC$ is

The expression$\frac{tan\, A}{1-cot\, A}+\frac{cot\, A}{1-tan \, A}$ can be written as

List of top Mathematics Questions on Trigonometric Functions asked in JEE Main

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