2\sin\left(\frac{1}{2}\left(\left|x\right|-\frac{\pi}{3}\right)\right)

asked by guest
on Sep 23, 2024 at 12:29 am



You asked:

Evaluate the expression: \(2 \cdot \sin\left( \frac{1}{2} \cdot \left(\left\lvert x\right\rvert - \frac{\pi}{3}\right) \right)\)

MathBot Answer:

Evaluated



\(\displaystyle 2 \cdot \sin\left( \frac{1}{2} \cdot \left(\left\lvert x\right\rvert - \frac{\pi}{3}\right) \right) = - 2 \cos{\left(\frac{\left|{x}\right|}{2} + \frac{\pi}{3} \right)} \)

Expanded

\[2 \cdot \sin\left( \frac{1}{2} \cdot \left(\left\lvert x\right\rvert - \frac{\pi}{3}\right) \right) = - 2 \cos{\left(\frac{\left|{x}\right|}{2} + \frac{\pi}{3} \right)}\]

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