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QJEEAdv04Ma2015: JEE Advanced 2004 Mathematics - Class 12 JEEAdv04Ma2015 Solution: Prove that for . Explain the identity if any used in the proof.

Prove that for x∈[0,π2],x \in \left[ {0,{\pi \over 2}} \right], sin⁡x+2x≥3x(x+1)π\sin x + 2x \ge {{3x\left( {x + 1} \right)} \over \pi } . Explain
the identity if any used in the proof.

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