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STD 11 - 3. trignometrical ratios,functions and identities — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 11 - 3. trignometrical ratios,functions and identities4 Marks
Question
If $\tan \left( {\frac{\pi }{4} + \theta } \right) + \tan \left( {\frac{\pi }{4} - \theta } \right) = \lambda \sec 2\theta ,$ $\lambda$ =
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Answer

d
$\frac{{1 + \tan \theta }}{{1 - \tan \theta }} + \frac{{1 - \tan \theta }}{{1 + \tan \theta }} = \lambda \left[ {\frac{{1 + {{\tan }^2}\theta }}{{1 - {{\tan }^2}\theta }}} \right]$

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