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Write expressions that give all solutions to the following equation. (Express your answers in degrees. Let k be any integer. Enter your answers as a comma-separated list.)
cos θ/2 − cos θ = 1
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= . (1)
For me, it is easier to introduce new variable = and to solve an equation for
- = . (2)
Surely, you know that = = .
Substitute it into (2). You will get
= , or
= ,
= .
Thus you have two separate equations
1. = 0 ---> = ---> = , k = 0, +/-1, +/-2, . . .
2. = ---> = ---> = +/- + ---> = +/- + , k = 0, +/-1, +/-2, . . .