JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1

\max \limits_{{\theta \in R}}\{5 \sin \theta+3 \sin (\theta-\alpha)\}=7

, then set of possible values of

\alpha

View answer and explanation

Correct option: A

\left\{x \mid x=2 n \pi \pm \frac{\pi}{3} ; n \in I\right\}

Option A (

\{x \mid x=2 n \pi \pm \frac{\pi}{3} ; n \in I\}

) is correct because it represents the values of alpha that satisfy the given maximum condition after simplifying the trigonometric expression.

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