10.4: Inverses of Trigonometric Functions Algebra 2.

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Presentation transcript:

10.4: Inverses of Trigonometric Functions Algebra 2

Warm-Up Convert each measure from degrees to radians °2. 180° °4. –30°

Warm-Up

Objectives Evaluate inverse trigonometric functions. Use trigonometric equations and inverse trigonometric functions to solve problems.

Inverses of Trigonometric Functions

The expression sin -1 is read as “the inverse sine.” In this notation, -1 indicates the inverse of the sine function, NOT the reciprocal of the sine function. Reading Math

Inverses of Trigonometric Functions

Finding Trigonometric Inverses

Inverses of Trigonometric Functions

Restricting the Domain of Trig Functions

The inverse trigonometric functions are also called the arcsine, arccosine, and arctangent functions. Reading Math

Finding Trigonometric Inverses 



 (0, 1)

Inverses of Trigonometric Functions

Example 3b: A group of hikers wants to walk from a lake to an unusual rock formation. The formation is 1 mile east and 0.75 mile north of the lake. To the nearest degree, in what direction should the hikers head from the lake to reach the rock formation? Lake Rock 0.75 mi 1 mi

Inverses of Trigonometric Functions Example 4a: Find the measure of the indicated angle to the nearest degree.

Inverses of Trigonometric Functions Example 4b: Find the measure of the indicated angle to the nearest degree.

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Inverses of Trigonometric Functions Homework: Section 10.4, p : 1-15 odd, 25, 30