Trigonometric-Equations Question 402
Question: The general solution of $ \sin x-\cos x=\sqrt{2} $ , for any integer n is
[Karnataka CET 2005]
Options:
A) $ n\pi $
B) $ 2n\pi +\frac{3\pi }{4} $
C) $ 2n\pi $
D) $ (2n+1),\pi $
Correct Answer: BShow Answer
Answer:
Solution:
Þ $ x+\frac{\pi }{4}=2n\pi \pm \pi \Rightarrow 2n\pi +\frac{3\pi }{4}or2n\pi -\frac{5\pi }{4} $ .