Question 858237: find all values of x in the interval [0,2pi] that satisfy sin^2x+cosx=1
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! find all values of x in the interval [0,2pi] that satisfy
sin^2x+cosx=1
1-cos^2x+cosx=1
cos^2x-cosx=0
cosx(cosx-1)=0
cosx=0
x=π/2, 3π/2
or
cosx-1=0
cosx=1
x=0, 2π
all values of x in the interval [0,2pi]: 0, π/2, 3π/2, 2π
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