Evaluate , giving your answer in simplest exact…

MATHEMATICS · Subjective · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

Evaluate sin⁡(−7π6)cos⁡(25π4)+cos⁡(−13π3)\sin\left(-\dfrac{7\pi}{6}\right)\cos\left(\dfrac{25\pi}{4}\right)+\cos\left(-\dfrac{13\pi}{3}\right), giving your answer in simplest exact form.

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