Question

Find all solutions to the equation.
cos(Theta)-1=-1
Answer needs to be in radians in terms of pi

Answer 1

is it
\[\cos(\theta)-1=-1\]?

Answer 2

http://www.wolframalpha.com/input/?i=cos%28Theta%29-1%3D-1

Answer 3

cos(theta) - 1 = -1


cos(theta) - 1+1 = -1+1


cos(theta) = 0


arccos(cos(theta)) = arccos(0)


theta = pi/2 + 2pi*n or theta = 3pi/2 + 2pi*n


theta = pi/2 + pi*n

Answer 4

same as
\[\cos(\theta)=0\] so
\[\theta =\frac{\pi}{2}+k\pi,k\in \mathbb Z\]

Answer 5

thanks, ya guys:)