2. We know that the value of a trigonometric function can be found using the ratio of the sides of a right triangle. For example, let sin = x. Fill in two of sides of the right triangle below using SOHCAHTOA, and the remaining side using the pythagorean theorem: sin = I opposite 1 hypotenuse Inverse Trigonometric Functions: When we look at an inverse trigonometric function, domain and range switch, meaning the inverse of a trigonometric function now has an input of the ratio of the sides of a right triangle and an output of an angle y = 0, The inverse of the first three trigonometric functions are denoted as: y = sin¹r, y = cos¹ x, y = tan-¹

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2. We know that the value of a trigonometric function can be found using the ratio of the sides of a right
triangle. For example, let sin 0 = x. Fill in two of sides of the right triangle below using SOHCAHTOA,
and the remaining side using the pythagorean theorem:
sin
I
opposite
1 hypotenuse
Inverse Trigonometric Functions:
When we look at an inverse trigonometric function, domain and range switch,
meaning the inverse of a trigonometric function now has an input of
the ratio of the sides of a right triangle and an output of an angle y = 0,
The inverse of the first three trigonometric functions are denoted as:
y = sin ¹ x, y = cos ¹ x, y = tan-¹
1
1
Transcribed Image Text:2. We know that the value of a trigonometric function can be found using the ratio of the sides of a right triangle. For example, let sin 0 = x. Fill in two of sides of the right triangle below using SOHCAHTOA, and the remaining side using the pythagorean theorem: sin I opposite 1 hypotenuse Inverse Trigonometric Functions: When we look at an inverse trigonometric function, domain and range switch, meaning the inverse of a trigonometric function now has an input of the ratio of the sides of a right triangle and an output of an angle y = 0, The inverse of the first three trigonometric functions are denoted as: y = sin ¹ x, y = cos ¹ x, y = tan-¹ 1 1
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