cos theta = - (sqrt(5))/6 where pi <= theta <= (3pi)/2; tan beta = 4/3 where 0 <= beta <= pi/2 What is the exact value of sin(theta + beta)? Enter your answer as a fraction in simplified form.
Here's a hint:
sin(x+y) = sin(x)cos(y) + cos(x)sin(y)
cos^2(x)+sin^2(x) = 1
tan(x) = sin(x)/cos(x)