What is the exact value of sin(θ+β)?

cosθ=−2/ √3, where π≤θ≤3π/ 2

tanβ=4/ 3, where 0≤β≤π/ 2

Hello lovesosa12!

\(cosθ=−2/ √3, where\ π≤θ≤3π/ 2\)

θ cannot be determined because

\(-1\leq cos\ θ\leq 1\)  and  \(-\frac{2}{\sqrt{3}}<1\)

tanβ=4/ 3, where 0≤β≤π/ 2

\(\beta=arctan(4/3)\)

\(\beta = 53.13\ deg\)

  !