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Trigonometrical equations — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSTrigonometrical equations1 Mark
MCQ
The equation $3\cos x + 4\sin x = 6$ has
  • A
    Finite solution
  • B
    Infinite solution
  • C
    One solution
  • ✓
    No solution
✓

Answer

Correct option: D.
No solution
d
(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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