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List of top Mathematics Questions on Trigonometric Functions asked in KEAM

Let α and β be such that α+β=π. If \(\cos\alpha=\frac{1}{\sqrt2}\), then the value of cot (β-α) is
The value of a(≠0) for which the equation \(\frac{1}{2}(x-2)^2+1=\sin(\frac{a}{x})\) holds is/are

For any real number \(x\), the least value of \(4cosx-3sinx+5\) is ?

Let P(x)=cos2x+sin4x,for any x∈R.Then which of the following options is correct for all x?
If, \(x∈(0,π)\) satisfies the equation \(6^{1+sinx+sin^2x....}=36\) ,then the value of \(x\) is_____.
The range of the function f(x) = 2sin(3x) +1 is equal to
The period of the function \(g(x)=5\cot(\frac{\pi}{3}x+\frac{\pi}{6})+2\) is equal to
If x and y are both non-negative and if x+y=π, then the maximum value of 5sinxsiny is equal to
The value of \(\cos^{-1}(\cos(\frac{7\pi}{6}))\) is equal to
If \(\theta \isin(-\pi,0)\ and\ cos\theta=\frac{-12}{13}, then\ \sin(\frac{\theta}{2})=\)
Let f: R→R be defined by f(x) = cos x. Then
$cos^4 \frac{\pi}{12} - sin^4 \frac{\pi}{12}$ is equal to
The values of x in the interval $[0,\pi]$ such that $sin 2x = \frac{\sqrt3}2$
The value of θ in the range 0 ≤ θ ≤ π/2 which satisfies the equation sin (θ + π/6) = cosθ is equal to
If cosecθ + cotθ = 5, then the value of tanθ is equal to
If 0 < θ < $\frac{π}2 $ and tanθ = $\frac{\sqrt5}2$, then cosθ is equal to
If $0< x< \pi$, then $\frac{\sin 8 x+7 \sin 6 x+18 \sin 4 x+12 \sin 2 x}{\sin 7 x+6 \sin 5 x+12 \sin 3 x}$ equal to
If $\frac{\sin x}{\cos x} \times \frac{\sec x}{\operatorname{cosec} x} \times \frac{\tan x}{\cot x}=9, $ where $x \in\left(0, \frac{\pi}{2}\right)$, then the value of $x$ is equal to
Let $s_n = \cos \left(\frac{n\pi}{10}\right), n=1,2,3,\ldots$ Then the value of $\frac{s_{1}s_{2}\ldots s_{10}}{s_{1}+s_{2}+\ldots+s_{10}}$ is equal to
The value of $\frac{\sqrt{3}}{\sin15^{\circ}} - \frac{\sqrt{1}}{\cos15^{\circ}}$ is equal to

The value of \(\frac{1}{8}(3-4\text{ }cos\text{ }2\theta +cos\text{ }4\theta )\) is

If $a$ and $b$ are positive numbers such that $ a>b, $ then the minimum value of $ a\sec \theta -b\tan \theta \left( 0
If $ \tan \alpha =\frac{b}{a},a>b>0 $ and if $ 0

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