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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Hard
1 of 1
Application +4 | -1
If ∣k∣=5|k|=5 and 0∘≤θ≤360∘0^{\circ} \leq \theta \leq 360^{\circ}, then the number of different solution of 3cos⁡θ+4sin⁡θ=k3 \cos \theta+4 \sin \theta=k is
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Correct option: B
Two
Option B (Two) is correct because the equation has two solutions when ∣k∣=5|k| = 5 and 0∘≤θ≤360∘0^{\circ} \leq \theta \leq 360^{\circ}.

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