AP EAMCET · Maths · Trigonometric Equations
If \(\tanh ^2 x=\tan ^2 \theta\) then \(\cosh 2 x=\)
- A \(\cos \theta\)
- B \(\sin \theta\)
- C \(\cos 2 \theta\)
- D \(\sec 2 \theta\)
Answer & Solution
Correct Answer
(D) \(\sec 2 \theta\)
Step-by-step Solution
Detailed explanation
\( \cosh 2x = \frac{1 + \tanh^2 x}{1 - \tanh^2 x} \) \( \cosh 2x = \frac{1 + \tan^2 \theta}{1 - \tan^2 \theta} \) \( \cosh 2x = \frac{\sec^2 \theta}{\frac{\cos^2 \theta - \sin^2 \theta}{\cos^2 \theta}} \) \( \cosh 2x = \frac{1/\cos^2 \theta}{\cos 2\theta / \cos^2 \theta} \)…
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