Check Homework. PRE. Lesson 7.4: Inverse Trig Functions. Objectives: To define the inverse of the sine, cosine, and tangent functions. To understand the domain and range of the inverse trig functions. Inverse Sine. Inverse Sine (arcsin).
Lesson 7.4: Inverse Trig Functions
The inverse of the function sin is the function sin–1 defined by: for –1 ≤ x ≤ 1 and –π/2 ≤ y ≤π/2.
sin y = x sin–1x = y
Inverse Cosine defined:
Inverse Cosine (arccos) defined:
The inverse cosine functionis the function cos–1with domain [–1, 1] and range [0, π], defined by:
cos y = x cos–1 x = y
Inverse Tangent defined:
Inverse Tangent (arctan) defined:
The inverse tangent functionis the function tan–1with domain and range (–π/2, π/2) defined by: tan y = x tan–1 x = y