JEE MATHEMATICS MCQ: COMPOUND ANGLES

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Application +4 | -1

\left| {\,k\,} \right| = 5

and

0^\circ \,\, \le \theta \le 360^\circ

, then the number of different solutions of

3\,\,\cos \,\,\theta + 4\,\,\sin \,\,\theta = k

View answer and explanation

Correct option: B

Two

Option B (Two) is correct because the equation 3cosθ + 4sinθ = k has two solutions when |k| = 5, corresponding to the maximum and minimum values of the expression.

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