How do you find the solution to 5(costheta+1)=5 if 0<=theta<360?

1 Answer
Jun 8, 2018

pi/2 and (3pi)/2

Explanation:

I assume you know 0<=theta<360 is the same thing as 0<=theta<2pi

I will solve in Radians which are easier than degrees.

5(costheta+1)=5 on 0<=theta<2pi

5(costheta+1)=5

divide off the 5:

costheta+1 = 1

subtract the 1

costheta = 0

now we look at the unit circle:

costheta=0 " at " pi/2 and (3pi)/2 on the interval 0<=theta<2pi

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