## Trigonometry (10th Edition)

Yes, there exists an angle $\theta$ with the functions values $\cos$ = 0.6 and $\sin$ = 0.8.
Using the Trigonometric Identity $\sin$$^{2} \theta + \cos$$^{2}$ $\theta$ = 1 we can determine if this is true. $\sin$$^{2} \theta + \cos$$^{2}$ $\theta$ = (-0.8)$^{2}$ + (0.6)$^{2}$ = (0.64) + (0.36) = 1.0 Since the trigonometric identity has been satisfied the angle does exist.