Inverse Functions and Trigonometric Equations

Inverse Functions and Trigonometric Equations

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Hard

Created by

Thomas White

FREE Resource

The video is a quick AP Precalculus tutorial on inverse trigonometric functions, focusing on their domain restrictions and how to solve related equations. It explains the concept of inverse sine, cosine, and tangent, highlighting their restricted domains in specific quadrants. The tutorial also covers solving trigonometric equations, emphasizing the need to account for periodic solutions by adding a plus 2 pi K to each solution. The video concludes with AP style practice questions.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main topic discussed in the video?

Inverse functions

Geometry theorems

Calculus derivatives

Algebraic equations

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example given, what is the angle for inverse sine of √3/2?

30°

60°

90°

45°

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which angle is not a solution for inverse sine of √3/2 due to domain restrictions?

120°

90°

60°

30°

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the angle in radians for inverse sine of √3/2?

π/4

π/2

π/3

π/6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which quadrants are relevant for the inverse sine function?

Quadrants 3 and 4

Quadrants 1 and 4

Quadrants 2 and 3

Quadrants 1 and 2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why do inverse trigonometric functions have restricted domains?

To avoid negative values

To ensure they are invertible

To match with cosine functions

To simplify calculations

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the restricted domain for the cosine function?

0 to π

π/2 to π

0 to 2π

π to 2π

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