SOLUTION: Find all (theta) in the interval [0,2pi] satisfying a) 2sin^2(theta) + sin(theta) = 1 b) 5cos)theta) + 2cos(theta + pi) + 3sin(pi/2

SOLUTION: Find all (theta) in the interval [0,2pi] satisfying a) 2sin^2(theta) + sin(theta) = 1 b) 5cos)theta) + 2cos(theta + pi) + 3sin(pi/2 - (theta)) = 3 Please show work.

Question 743932: Find all (theta) in the interval [0,2pi] satisfying
a) 2sin^2(theta) + sin(theta) = 1
b) 5cos)theta) + 2cos(theta + pi) + 3sin(pi/2 - (theta)) = 3
Please show work.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find all (theta) in the interval [0,2pi] satisfying
a) 2sin^2(theta) + sin(theta) = 1

2sin(x)-1=0
sin(x)=1/2
x=π/6, 5π/6
or
sin(x)+1=0
sin(x)=-1
x=3π/2
..
b) 5cos)theta) + 2cos(theta + pi) + 3sin(pi/2 - (theta)) = 3

6cos(x)=3
cos(x)=3/6=1/2
x=π/3, 5π/3
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