AP EAMCET · Maths · Trigonometric Ratios & Identities
If \(\sin \theta+\operatorname{cosec} \theta=4\), then \(\sin ^2 \theta+\operatorname{cosec}^2 \theta=\)
- A \(12\)
- B \(18\)
- C \(16\)
- D \(14\)
Answer & Solution
Correct Answer
(D) \(14\)
Step-by-step Solution
Detailed explanation
We have, \(\sin \theta+\operatorname{cosec} \theta=4\) \(\Rightarrow \frac{1}{\operatorname{cosec} \theta}+\operatorname{cosec} \theta=4\) Squaring both sides, \(\frac{1}{\operatorname{cosec}^2 \theta}+\operatorname{cosec}^2 \theta+2=16\)…
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