Question

How do you find the solution to `5costheta+3=3costheta+5` if `0<=theta<2pi`?

Answer 1

Solution: In interval `0<=theta<2pi ; theta=0^0`

Explanation:

`5 cos theta +3 =3 cos theta +5 or 5 cos theta -3 cos theta = 5 -3 or 2 cos theta =2 or cos theta = 1 ; cos 0 =1 :. theta=0^0`. Also `cos2pi=1:. theta=2pi`
Solution: In interval `0<=theta<2pi ; theta=0^0` [Ans]