Trigonometric Equations Question 43
Question: The equation $ 3\cos x+4\sin x=6 $ has
[Orissa JEE 2002]
Options:
A) Finite solution
B) Infinite solution
C) One solution
D) No solution
Show Answer
Answer:
Correct Answer: D
Solution:
- $ 3\cos x+4\sin x=6 $
Þ $ \frac{3}{5}\cos x+\frac{4}{5}\sin x=\frac{6}{5} $
Þ $ \cos (x-\theta )=\frac{6}{5} $ , $ [\text{where }\theta ={{\cos }^{-1}}(3/5)] $ So, that equation has no solution.
BETA
