MCQ
The equation $3\cos x + 4\sin x = 6$ has
- AFinite solution
- BInfinite solution
- COne solution
- ✓No solution
✓
Answer
Correct option: D.
No solution
d
(d) $3\cos x + 4\sin x = 6$
(d) $3\cos x + 4\sin x = 6$
==> $\frac{3}{5}\cos x + \frac{4}{5}\sin x = \frac{6}{5}$
==> $\cos (x - \theta ) = \frac{6}{5}$,
$[{\rm{where\,\, }}\theta = {\cos ^{ - 1}}(3/5)]$
So, that equation has no solution.
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