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Inverse Trigonometric Functions - Evaluating the Composition of Inverse Trigonometric Functions

GreeneMath.com via YouTube

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Provider

YouTube
Pricing

Free Video
Languages

English
Effort

36 minutes
Sessions

Self-Paced
Level

Intermediate

Found in

This lesson explains how restricting a function’s domain makes it invertible, then applies the idea to inverse sine, cosine, tangent, cotangent, secant, and cosecant. It uses graphs, reference angles, and worked problems to evaluate inverse trigonometric functions and compositions.

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, -π/2 ≤ x ≤ π/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 ≤ π.
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.