QUADRANTS
The following is the formula for attaining θ in the 4 quadrants of the unit circle:
Q1.
sin^-1(y) = θ
cos^-1(x) = θ
Q2.
sin^-1(y) = π – θ therefore θ = π – sin^-1(y)
cos^-1(x) = θ
Q3.
sin^-1(y) = π – θ therefore θ = π – sin^-1(y)
cos^-1(x) = 2π – θ therefore θ = 2π – cos^-1(x)
Q4.
sin^-1(y) = θ – 2π therefore θ = 2π + sin^-1(y)
cos^-1(x) = 2π – θ therefore θ = 2π – cos^-1(x)
