SOLUTION: Solve the equation for exact values: 2cos^2(x) - 2sin^2(x) + 2 = 0 Select one: a. π b. 0 c. π/2 d. 2π

Algebra ->  Matrices-and-determiminant -> SOLUTION: Solve the equation for exact values: 2cos^2(x) - 2sin^2(x) + 2 = 0 Select one: a. π b. 0 c. π/2 d. 2π       Log On


   

Question 970293: Solve the equation for exact values: 2cos^2(x) - 2sin^2(x) + 2 = 0
Select one:
a. π
b. 0
c. π/2
d. 2π
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
2cos^2(x) - 2sin^2(x) + 2 = 0
cos^2(x) - sin^2(x) + 1 = 0
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cos^2 + sin^2 = 1
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cos^2(x) - sin^2(x) + cos^2(x) + sin^2(x) = 0
2cos^2(x) = 0
cos(x) = 0
x = pi/2 ± n*pi, n = 0,1,2,3...