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Question: Answered & Verified by Expert
If $f(x)=2 \sin x, g(x)=\cos ^2 x$, then $(f+g)\left(\frac{\pi}{3}\right)=$
MathematicsFunctionsJEE Main
Options:
  • A $1$
  • B $\frac{2 \sqrt{3}+1}{4}$
  • C $\sqrt{3}+\frac{1}{4}$
  • D None of these
Solution:
2704 Upvotes Verified Answer
The correct answer is: $\sqrt{3}+\frac{1}{4}$
$(f+g) \frac{\pi}{3}=\frac{2 \sqrt{3}}{2}+\frac{1}{4}=\sqrt{3}+\frac{1}{4}$

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