TS EAMCET · Maths · Trigonometric Equations
If \(\sin \mathrm{h} x=\tan \mathrm{A}\), then \(|\tan \mathrm{h} x|=\)
- A \(|\sin \mathrm{A}|\)
- B \(|\cos \mathrm{A}|\)
- C \(|\sec \mathrm{A}|\)
- D \(|\operatorname{cosec} \mathrm{A}|\)
Answer & Solution
Correct Answer
(A) \(|\sin \mathrm{A}|\)
Step-by-step Solution
Detailed explanation
\begin{aligned} &\sinh \mathrm{x}=\tan \mathrm{A} \\ & \tan \mathrm{A}=\frac{\mathrm{e}^{\mathrm{x}}-\mathrm{e}^{-\mathrm{x}}}{2} \\ & \mathrm{e}^{\mathrm{x}}-\mathrm{e}^{-\mathrm{x}}=2 \tan \mathrm{A} \\ & \left(\mathrm{e}^{\mathrm{x}}\right)^2-2 \tan \mathrm{A}…
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