AP EAMCET · Maths · Trigonometric Ratios & Identities
If \(\sin \theta+\operatorname{cosec} \theta=2\), then the value of \(\sin ^{10} \theta+\operatorname{cosec}^{10} \theta\) is equal to
- A \(2\)
- B \(2^{10}\)
- C \(2^9\)
- D \(2^8\)
Answer & Solution
Correct Answer
(A) \(2\)
Step-by-step Solution
Detailed explanation
Given, \(\sin \theta+\operatorname{cosec} \theta=2\) It is possible only \(\sin \theta=\operatorname{cosec} \theta=1\) \(\therefore \sin ^{10} \theta+\operatorname{cosec}^{10} \theta=(1)^{10}+(1)^{10}=1+1=2\)
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