TS EAMCET · Maths · Trigonometric Equations
If \(\sin \theta \cosh \alpha=\tan x, \cos \theta \sinh \alpha=\sec x\), then \(\cos 2 \theta \cosh 2 \alpha=\)
- A 1
- B 2
- C 3
- D 4
Answer & Solution
Correct Answer
(C) 3
Step-by-step Solution
Detailed explanation
\begin{gathered}\text { We have, } \quad \begin{array}{c}\sin \theta \cosh \alpha=\tan x \\ \cos \theta \sinh \alpha=\sec x\end{array} \\ \cos ^2 \theta \sin ^2 h \alpha-\sin ^2 \theta \cos ^2 h \alpha=\sec ^2 x-\tan ^2 x \\ \cos ^2 \theta \sin ^2 h \alpha-\sin ^2 \theta \cos ^2…
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