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.)

5 sin^2(x)- 21 sin(x)+ 4 =0

2 answers

factor it
(5sinx - 1)(sinx - 4) = 0
sinx = 1/5 or sinx = 4
the latter is not possible, so

sinx = 1/5
x must be in I or II
x = 11.537° or 168.463°

if you need the answer in radians , set your calculator to RAD (DRG button) and repeat the inverse sin operation.
Thank you so much!