Simplifying Trig Expressions By Factoring ex 5

Simplifying Trig Expressions By Factoring ex 5

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial explains how to use substitution to simplify an expression by letting U equal the cotangent of X. It then demonstrates rewriting the expression in terms of U, factoring it by ensuring all terms are positive, and finally replacing U with the cotangent of X to achieve the final factored form.

Read more

5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What substitution is made at the beginning of the problem?

U equals the cosine of X

U equals the tangent of X

U equals the cotangent of X

U equals the sine of X

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the expression rewritten in terms of U?

2U^2 + 3U + 1

2U^2 + U + 3

U^2 + 2U + 3

3U^2 + 2U + 1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which pair of terms multiply to give a positive one in the expression?

Positive one and negative one

Negative one and negative one

Positive one and positive one

Negative one and positive one

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final step to obtain the factored form?

Replace U with cotangent of X

Replace U with tangent of X

Replace U with sine of X

Replace U with cosine of X

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final factored form of the expression?

2(cotangent of X)^2 + 3(cotangent of X) + 1

(2U + 1)(U + 1)

(2(cotangent of X) + 1)(cotangent of X + 1)

2U^2 + 3U + 1

Discover more resources for Mathematics