List of top Mathematics Questions on Trigonometric Identities

Let \(\frac{\pi}{2}<x<\pi\) be such that \(\cot x=\frac{-5}{\sqrt{11}}\). Then
\((\sin\frac{11x}{2})(\sin 6x-\cos6x)+(\cos\frac{11x}{2})(\sin 6x+\cos 6x)\)
is equal to

If \(f(x)\) = \(\begin {bmatrix} Cos x& -sinx & 0\\sinx & cos x& 0\\0&0&1 \end {bmatrix} \)Statement I \(⇒ f(x).f(y) = f(x+y)\) Statement II \(⇒f(-x) =0 \) is invertible

If secθ+tanθ=k, then secθ-tanθ=?

If sin² θ+ cosec² θ = 6, then sin θ + cosec θ =

If \(cos 2x-a \sin x=2a-7\) then range of \(a\) is:

Let p,q and r be real numbers such that \(|r|\gt\sqrt{p^2+q^2}\).Then the equation \(p\cos\theta+q\sin\theta=r\) has

If α+β+γ=2π, then the value of \(\cot\frac{\alpha}{2}\cot\frac{\beta}{2}+\cot\frac{\alpha}{2}\cot\frac{\gamma}{2}+\cot\frac{\beta}{2}\cot\frac{\gamma}{2}\) is

The value of \(\begin{vmatrix}     \sin^2 14 \degree & \sin^2 66\degree & \tan 135\degree \\     \sin^2 66\degree & \tan 135\degree &     \sin^2 14 \degree \\     \tan 135\degree & \sin^2 14 \degree & \sin^2 66\degree \end{vmatrix}\)

If tanα=1/3, tanβ=1/7 and 2α + β = m, then sin 2m is equal.

If a=cos2α+isin2α and b=cos2β+isin2β then _______

If \(cos^{-1}(\frac{y}{2})=log_e(\frac{x}{5})^5, |y| < 2\) then:

If α and β are two acute angles of a right triangle, then (sinα+sinβ)²+(cosα+cosβ)²=

If x = a sinθ and y = b tan θ, then the value of \(\frac{a^2}{x^2}-\frac{b^2}{y^2}\) is

If sec θ+ tan θ= X, then tan θ =

If cos A COS = \(\frac{4}{5}\) then the value of tan A is 

If tanθ+cotθ = 5, then tan²θ+ cot²θ =?

The function \(f(x) = 4 \sin^3 x - 6 \sin^2 x + 12 \sin x + 100\) is strictly

\(sin^{-1}\bigg(sin\frac{2π}{3}\bigg)+cos^{-1}\bigg(cos\frac{7π}{6}\bigg)+tan^{-1}\bigg(tan\frac{3π}{4}\bigg)\) is equal to:

The angle of elevation of a jet plane from a point A on the ground is $60^{\circ}$. After a flight of 20 seconds at the speed of $432 km /$ hour, the angle of elevation changes to $30^{\circ} .$ If the jet plane is flying at a constant height, then its height is :

If $sin\alpha +sin \beta = \frac{\sqrt6}2$ and $cos \alpha + cos\beta = \frac{\sqrt2}2$ then $coas(\alpha - \beta)$ is equa; to

If sinα = cosα, then the value of α is

If \(\tan \theta = \frac{1}{\sqrt{3}}\), then the value of \(\text{cos}\ θ\) is