Learn how to find the inverse of domain restricted functions and trigonometric functions by restricting the domain. Discover how to solve trigonometric equations using inverse trigonometric functions and reference angles. Evaluate the composition of trigonometric functions, including those involving inverse trigonometric functions. The course covers topics such as inverse sine, cosine, tangent, cotangent, secant, and cosecant functions, along with finding exact values. Intended for learners interested in advanced trigonometry concepts and applications.
Inverse Trigonometric Functions - Evaluating the Composition of Inverse Trigonometric Functions
Overview
Syllabus
Revisiting one-to-one functions.
Revisiting the squaring function f(x) = x^2.
Restricting the domain of the squaring function f(x) = x^2, x ≥ 0.
Finding the inverse of the domain restricted function f(x) = x^2, x ≥ 0.
Showing the graphs of f(x) = x^2, x ≥ 0, f(x) = sqrt(x), and y = x.
Showing the graph of y = sin x.
Showing the graph of y = sin x, -Ï€/2 ≤ x ≤ Ï€/2.
Showing the graph of y = arcsin x.
Finding inverse sine values problem #1.
Finding inverse sine values problem #2.
Showing the graph of y = cos x.
Showing the graph of y = cos x, 0 ≤ x ≤ Ï€.
Showing the graph of y = arccos x.
Finding inverse cosine values problem #1.
Finding inverse cosine values problem #2.
Showing the graph of y = tan x.
Showing the graph of y = tan x, -π/2 < x < π/2.
Showing the graph of y = arctan x.
Finding inverse tangent values problem #1.
Inverse cotangent function.
Inverse secant function.
Inverse cosecant function.
Finding inverse cosecant values problem #1.
Summary table for inverse trigonometric functions.
Finding the exact value problem #1.
Finding the exact value problem #2.
Finding the exact value problem #3.
Taught by
GreeneMath.com
