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TrigonometryHardThe Unit Circle and Circular Functions

The Unit Circle and Circular Functions · Hard problem

Given sin⁡a=23\sin a=\dfrac23 and cos⁡a<0\cos a<0, find the exact value of sin⁡(−a)+cos⁡(−a)+tan⁡(−a)\sin(-a)+\cos(-a)+\tan(-a).