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Trigonometrical Equations
easy
यदि $\tan (\pi \cos \theta ) = \cot (\pi \sin \theta )$, तब $\sin \left( {\theta + \frac{\pi }{4}} \right)$ का मान होगा
A
$\frac{1}{{\sqrt 2 }}$
B
$\frac{1}{2}$
C
$\frac{1}{{2\sqrt 2 }}$
D
$\frac{{\sqrt 3 }}{2}$
Solution
(c) $\tan (\pi \cos \theta ) = \tan \left( {\frac{\pi }{2} – \pi \sin \theta } \right)$
$\therefore \sin \theta + \cos \theta = \frac{1}{2}$
==>$\sin \left( {\theta + \frac{\pi }{4}} \right) = \frac{1}{{2\sqrt 2 }}$.
Standard 11
Mathematics
