11/16/22 - Trigonometric Equations

Question 1

For x between (-1, 1), what values of θ in [0, 2π] satisfy cos(θ) = x

Answer 1

arccos(x) and -arccos(x)

Question 2

For x between (-1, 1), what values of θ in [0, 2π] satisfy sin(θ) = x

Answer 2

arcsin(x) and π - arcsin(x)

Question 3

For x between (-1, 1), what values of θ in [0, 2π] satisfy tan(θ) = x

Answer 3

arctan(x) and π + arctan(x)