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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

Description:

Explore inverse trigonometric functions and their compositions in this comprehensive 36-minute video lesson. Begin by revisiting one-to-one functions and the squaring function, then learn how to restrict domains and find inverses of trigonometric functions. Examine graphs of sine, cosine, and tangent functions along with their inverse counterparts. Practice solving problems involving inverse sine, cosine, tangent, cotangent, secant, and cosecant values. Conclude with a summary table of inverse trigonometric functions and work through examples to find exact values using these concepts.

Inverse Trigonometric Functions - Evaluating the Composition of Inverse Trigonometric Functions

GreeneMath.com

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#Mathematics #Trigonometry #Data Science #Graph Analysis #Inverse Trigonometric Functions

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