If the domain of the function f(x)=cos−1(11−3x2x−5)+sin−1(2x2−3x+1) is the interval [α,β], then α+2β is equal to :
Held on 21 Jan 2026 · Verified 6 Jul 2026.
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If $\cot x=\frac{5}{12}$ for some $x \in\left(\pi, \frac{3 \pi}{2}\right)$, then $\sin 7 x\left(\cos \frac{13 x}{2}+\sin \frac{13 x}{2}\right)+\cos 7 x\left(\cos \frac{13 x}{2}-\sin \frac{13 x}{2}\right)$ is equal to
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