Limits and Trigonometric Identities

Limits and Trigonometric Identities

Assessment

Interactive Video

Mathematics

10th - 12th Grade

Practice Problem

Hard

CCSS
HSF.TF.C.8, HSF.TF.C.9

Standards-aligned

Created by

Aiden Montgomery

FREE Resource

Standards-aligned

CCSS.HSF.TF.C.8
,
CCSS.HSF.TF.C.9
This video tutorial covers the topic of trigonometric limits, focusing on solving limit problems using various techniques such as substitution, factoring, and trigonometric identities. The instructor provides detailed explanations and step-by-step solutions to ten example problems, demonstrating how to handle limits approaching zero and other values. The video aims to enhance understanding of trigonometric limits and improve problem-solving skills.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of the limit as x approaches π/3 for sin(x)/cos(x)?

√3/2

1

√3

1/2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which identity is used to simplify the expression 1 - cos²(x)?

sin²(x)

cos²(x)

tan²(x)

1 + sin²(x)

Tags

CCSS.HSF.TF.C.8

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you express tan(x) in terms of sine and cosine?

cos(x)/sin(x)

sin(x)/cos(x)

sin(x) - cos(x)

sin(x) + cos(x)

Tags

CCSS.HSF.TF.C.8

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of the limit as x approaches 0 for (1 - cos(6x))/(1 - cos(2x))?

3

1/3

2

1/2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the limit as x approaches 0 for sin(7x) - sin(3x) divided by sin(2x)?

3

4

2

1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric identity is used to simplify 1 - cos(2x)?

2sin²(x)

2cos²(x)

sin²(x)

cos²(x)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the limit as x approaches 0 for tan²(x)/(6x²)?

1/12

1/6

1/18

1/36

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