(Solved): If \( \sin \theta=\frac{5}{6}, \theta \) in quadrant II, find the exact value of (a) \( \cos \theta ...

If \( \sin \theta=\frac{5}{6}, \theta \) in quadrant II, find the exact value of (a) \( \cos \theta \) (b) \( \sin \left(\theta+\frac{\pi}{6}\right) \) (c) \( \cos \left(\theta-\frac{\pi}{3}\right) \) (d) \( \tan \left(\theta+\frac{\pi}{4}\right) \) (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) (b) \( \sin \left(\theta+\frac{\pi}{6}\right)= \) (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) (c) \( \cos \left(\theta-\frac{\pi}{3}\right)= \) (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) (d) \( \tan \left(\theta+\frac{\pi}{4}\right)= \) (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)