SOLUTION: It states to find all values of theta in [o,360] that satisfy each equation cos theta - 2 sin squared = 1 so I did sin of 1 is pi/2 cos theta

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Question 668230: It states to find all values of theta in [o,360] that satisfy each equation
cos theta - 2 sin squared = 1
so I did sin of 1 is pi/2
cos theta - sinx = pi/2 over 2/ and this where I am at. I can do
cot(2x)=-1 which is 45 - 180 equals 135/2 equal 67.5 and 45=180 equals 315/2 equals 157.5.
but this i feel doesnt help me out with the first problem. any assistance
Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website!
It states to find all values of theta in [o,360] that satisfy each equation
cos theta - 2 sin squared = 1
**
cosx-2sin^2x=1
cosx-2(1-cos^2x)-1=0
cosx-2+2cos^2x-1=0
2cos^2x+cosx-3=0
factor:
(2cosx+3)(cosx-1)=0
2cosx+3=0
cosx=-3/2(reject,-1 ≤ cosx ≤1)
or
cosx-1=0
cosx=1
x=0

SOLUTION: It states to find all values of theta in [o,360] that satisfy each equation cos theta - 2 sin squared = 1 so I did sin of 1 is pi/2 cos theta - sinx = pi/2 over 2/ and this