Vocabulary
Inverse Sine Function- If -1≤a≤1, then the inverse sine of a is an angle θ, written θ=sin⁻¹a, where sinθ=a and -π⁄2 ≤ θ ≤ π/2 ( or -90⁰≤θ≤90⁰).Inverse Cosine Function- If -1≤a≤1, then the inverse tangent of a is an angle θ, written θ= cos⁻¹ a, where cosθ=a and 0<θ<π (or 0⁰<θ<180⁰).
Inverse Tangent Function- If a is any real number, then the inverse tangent of a is an angle θ, written θ= tan⁻¹ a, where tanθ=a and -π/2<θ<π⁄2
(or -90⁰<θ<90⁰).
Inverse Tangent Function- If a is any real number, then the inverse tangent of a is an angle θ, written θ= tan⁻¹ a, where tanθ=a and -π/2<θ<π⁄2
(or -90⁰<θ<90⁰).
Essential Information
There are many angles θ that have a sine of 0.5. To obtain a unique angle θ such that sinθ=0.5, the domain must be restricted of the sine function. Domain restrictions allow the inverse sine, inverse cosine and inverse tangent functions to be defined.