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Trig Substitution with Radicals

Trig Substitution with Radicals

Assessment

Interactive Video

•

Mathematics

•

11th Grade

•

Practice Problem

•

Medium

Created by

Myra Deister

Used 2+ times

FREE Resource

5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 In the first example, what is x equal to?

4 tan θ

4 cos θ

 4 sec θ

4 csc θ

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What will be the result of substituting x = 4 sec θ into √(x² - 16)?

√(16 sec² θ - 16)

√(16 tan² θ - 16)

√(16 cos² θ - 16)

√(16 sin² θ - 16)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 Which trigonometric identity can be used to substituted for sec² θ - 1?

sin² θ + cos² θ = 1

 tan² θ + 1 = sec² θ

csc² θ - 1 = cot² θ

 sec² θ - tan² θ = 1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What will be the result of substituting x = 5 cot θ into √(x² + 25)?

√(25 cot² θ + 25)

√(25 tan² θ + 25)

 √(25 sec² θ + 25)

√(25 csc² θ + 25)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What will be the final result of simplifying √(x² + 25) when x = 5 cot θ?

 5 sin θ

 5 cos θ

5 tan θ

5 csc θ

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