Question

Solve each trigonometric equation for θ in terms of y .
y=2 cosθ+1

Answer 1

Θ =
`cos^(-1)` (
`(y-1)/(2)` )

Explanation:

y = 2cosΘ + 1 ( subtract 1 from both sides )

y - 1 = 2cosΘ ( divide both sides by 2 )

`(y-1)/(2)` = cosΘ , then

Θ =
`cos^(-1)` (
`(y-1)/(2)` )