If $\sin (\theta)+\operatorname{cosec}(\theta)=2$, then $\sin ^{2020}(\theta)+\operatorname{cosec}^{2020}(\theta)=\ldots$.

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Aicharya · Accepted Answer

$\sin \theta+\operatorname{cosec} \theta=2$ $\Rightarrow \quad \sin \theta+\frac{1}{\sin \theta}=2 \Rightarrow(\sin \theta=1)$ So, $\quad \sin ^{2020} \theta+\cos ^{2020} \theta=1+1=2$

If \(\sin (\theta)+\operatorname{cosec}(\theta)=2\), then \(\sin…

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