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Trigonometric Functions and Identities

Trigonometric Functions and Identities

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers Chapter 7 on trigonometric identities and equations, focusing on equivalent trigonometric functions, their representation in different quadrants, and cofunction identities. The instructor emphasizes understanding these concepts through examples and encourages students to practice and apply these identities.

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of Chapter 7 in the video?

Linear Equations

Algebraic Functions

Trigonometric Identities and Equations

Calculus Derivatives

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is an equivalent expression for y = -sin(θ)?

y = -sin(θ + 2π)

y = sin(θ - π)

y = sin(θ)

y = sin(θ + π)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you express a cosine function that starts from the peak and is shifted left by π/2?

y = -cos(θ - π/2)

y = -cos(θ + π/2)

y = cos(θ - π/2)

y = cos(θ + π/2)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant are all trigonometric functions positive?

Quadrant 3

Quadrant 2

Quadrant 4

Quadrant 1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sine of (π - θ) in the second quadrant?

cos(θ)

-sin(θ)

-cos(θ)

sin(θ)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the third quadrant, what is the cosine of (π + θ)?

-sin(θ)

cos(θ)

-cos(θ)

sin(θ)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sine of (2π - θ) in the fourth quadrant?

-cos(θ)

cos(θ)

-sin(θ)

sin(θ)

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