JEE MAIN Trigonometrical Function Previous Year Questions (PYQs)
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Let $f(x) = 3{\sin ^4}x + 10{\sin ^3}x + 6{\sin ^2}x - 3$, $x \in \left[ { - {\pi \over 6},{\pi \over 2}} \right]$. Then, f is :
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Solution
If $\sum\limits_{r=1}^{13}\left\{\frac{1}{\sin \left(\frac{\pi}{4}+(r-1) \frac{\pi}{6}\right) \sin \left(\frac{\pi}{4}+\frac{r \pi}{6}\right)}\right\}=a \sqrt{3}+b, a, b \in Z$, then $a^2+b^2$ is equal to :
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Solution
For any $\theta \in \left(\frac{\pi}{4}, \frac{\pi}{2}\right)$, the expression
$3(\cos \theta - \sin \theta)^4 + 6(\sin \theta + \cos \theta)^2 + 4\sin^6 \theta$
equals:
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Solution
The sum of all values of $\theta \in [0,2\pi]$ satisfying $2\sin^2\theta=\cos 2\theta$ and $2\cos^2\theta=3\sin\theta$ is:
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Solution
Let $f(x) = 3{\sin ^4}x + 10{\sin ^3}x + 6{\sin ^2}x - 3$, $x \in \left[ { - {\pi \over 6},{\pi \over 2}} \right]$. Then, f is :
1
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3
4
Solution
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