Trigonometric-Equations Question 398
Question: If $ \tan (\pi \cos \theta )=\cot (\pi \sin \theta ) $ , then $ \sin ( \theta +\frac{\pi }{4} ) $ equals
[AMU 1999]
Options:
A) $ \frac{1}{\sqrt{2}} $
B) $ \frac{1}{2} $
C) $ \frac{1}{2\sqrt{2}} $
D) $ \frac{\sqrt{3}}{2} $
Correct Answer: A
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Answer:
Solution:
$ \therefore \sin \theta +\cos \theta =\frac{1}{2} $
Þ $ \sin ( \theta +\frac{\pi }{4} )=\frac{\sqrt{2}}{2} $
BETA
