AP EAMCET · Maths · Trigonometric Ratios & Identities
If \(\sec \theta \cosh y=\operatorname{cosec} x\) and \(\operatorname{cosec} \theta \sinh y=\sec x\), then \(\sinh ^2 y=\)
- A \(\cos ^2 x\)
- B \(\cos x\)
- C \(\sin ^2 x\)
- D \(\sin x\)
Answer & Solution
Correct Answer
(A) \(\cos ^2 x\)
Step-by-step Solution
Detailed explanation
Since, \(\sec \theta \cosh y=\operatorname{cosec} x\) and \(\operatorname{cosec} \theta \sinh y=\sec x\) so, \(\cos \theta=\sin x \cosh y\) ...(i) and \(\sin \theta=\cos x \sinh y\) If we square and add Eqs. (i) and (ii),…
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