Solve the given equation Enter your answers as a commasepara

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) 3 sin^2 theta + 13 sin theta - 30 = 0 theta =

Solution

3sin^2theta +13sin theta-30=0

(sin theta+6)(3sin theta-5)=0

sin theta=-6 and sin theta=5/3

sin theta =-6 is not possible since sin theta lies between [-1 and1]

sin theta=5/3

theta= 2pi*k +sin^-1(5/3),2pi*k -sin^-1(5/3)