Trigonometric Equations Question 388
Question: The number of solution of the given equation $ a\sin x+b\cos x=c $ , where $ |c|,>,\sqrt{a^{2}+b^{2}}, $ is
[DCE 1998]
Options:
A) 1
B) 2
C) Infinite
D) None of these
Show Answer
Answer:
Correct Answer: D
Solution:
- $ \frac{a}{\sqrt{a^{2}+b^{2}}}\sin x+\frac{b}{\sqrt{a^{2}+b^{2}}}\cos x=\frac{c}{\sqrt{a^{2}+b^{2}}} $ $ \sin (x+\alpha )=\frac{c}{\sqrt{a^{2}+b^{2}}}>1 $ , (as given) Hence there is no solution.
BETA
