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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy
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Application +4 | -1
If 3sin⁡θ+4cos⁡θ=53 \sin \theta+4 \cos \theta=5, then the value of 4sin⁡θ−3cos⁡θ4 \sin \theta-3 \cos \theta is equal to
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Correct option: D
0
Option D (0) is correct because, given 3sin(θ\theta)+4cos(θ\theta)=5, we can find the value of 4sin(θ\theta)-3cos(θ\theta) by using the identity (3sin(θ\theta)+4cos(θ\theta))2 + (4sin(θ\theta)-3cos(θ\theta))2 = 25, which results in 4sin(θ\theta)-3cos(θ\theta)=0.

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