The value of is equal to

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

Problem

The value of sec⁡[sin⁡−1(−sin⁡50π9)+cos⁡−1(cos⁡(−3π9))]\sec\left[\sin^{-1}\left(-\sin\frac{50\pi}{9}\right)+\cos^{-1}\left(\cos\left(-\frac{3\pi}{9}\right)\right)\right] is equal to

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