If cosα+cosβ=23andsinα+sinβ=21and θ is the arithmetic mean of \alpha &\beta , then sin2θ+cos2θ is equal to:
Held on 11 Apr 2015 · 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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