TS EAMCET · Maths · Trigonometric Ratios & Identities
\(\frac{\sinh (x+y)+\sinh (x-y)}{\cosh (x+y)-\cosh (x-y)}=\)
- A \(\tan\) hy
- B \(\cot \mathrm{h} y\)
- C \(\tan h x \cot h y\)
- D \(\tan h y \cot h x\)
Answer & Solution
Correct Answer
(B) \(\cot \mathrm{h} y\)
Step-by-step Solution
Detailed explanation
\(\frac{\sinh (x+y)+\sinh (x-y)}{\cosh (x+y)-\cosh (x-y)}\) is the given expression Apply si \(n h(x+y)=\sin h x \cos h x+\cosh x \sin h y\) Similarly, apply the formula of \(\sinh (x-y), \cosh (x+y) \& \cos h(x-y)\).…
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