Trigonometric-Equations Question 397
Question: If $ \tan (\pi \cos \theta )=\cot (\pi \sin \theta ), $ then the value of $ \cos ( \theta -\frac{\pi }{4} ) $ =
[UPSEAT 1999]
Options:
A) $ \frac{1}{2\sqrt{2}} $
B) $ \frac{1}{\sqrt{2}} $
C) $ \frac{1}{3\sqrt{2}} $
D) $ \frac{1}{4\sqrt{2}} $
Correct Answer: A
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Answer:
Solution:
$ \therefore $ $ ,\sin \theta +\cos \theta =\frac{1}{2} $
$ \Rightarrow ,\cos ( \theta -\frac{\pi }{4} )=\frac{1}{2\sqrt{2}} $ .
BETA
