AP EAMCET · Maths · Trigonometric Ratios & Identities
If \(\sin (\theta)+\operatorname{cosec}(\theta)=2\), then \(\sin ^{2020}(\theta)+\operatorname{cosec}^{2020}(\theta)=\ldots\).
- A \(2^{2020}\)
- B \(20202^{2019}\)
- C \(2^{2019}\)
- D 2
Answer & Solution
Correct Answer
(D) 2
Step-by-step Solution
Detailed explanation
\(\sin \theta+\operatorname{cosec} \theta=2\) \(\Rightarrow \quad \sin \theta+\frac{1}{\sin \theta}=2 \Rightarrow(\sin \theta=1)\) So, \(\quad \sin ^{2020} \theta+\cos ^{2020} \theta=1+1=2\)
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