SOLUTION: What is the solution to the following equation: SIN^2(X) + SIN(x) = 2. Started from SIN^2(x)+SIN(x) = 2 (SIN(X) * SIN(X))+SIN(x)= 2 SIN(X)*SIN(X)=2-SIN(X)

Algebra ->  Trigonometry-basics -> SOLUTION: What is the solution to the following equation: SIN^2(X) + SIN(x) = 2. Started from SIN^2(x)+SIN(x) = 2 (SIN(X) * SIN(X))+SIN(x)= 2 SIN(X)*SIN(X)=2-SIN(X)       Log On


   

Question 458607: What is the solution to the following equation: SIN^2(X) + SIN(x) = 2.
Started from
SIN^2(x)+SIN(x) = 2
(SIN(X) * SIN(X))+SIN(x)= 2
SIN(X)*SIN(X)=2-SIN(X)
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
this is a quadratic in sin

sin^2^(x) + sin(x) - 2 = 0 ___ factoring ___ [sin(x) + 2][sin(x) - 1] = 0

sin(x) + 2 = 0 ___ sin(x) = -2 ___ this is not an allowable value for sin ___ not a solution

sin(x) - 1 = 0 ___ sin(x) = 1