Solving Trig Equations: Advanced Techniques

Solving Trig Equations: Advanced Techniques

Assessment

Interactive Video

Created by

Amelia Wright

Mathematics

9th - 12th Grade

Hard

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of taking the square root of cosine squared in the equation?

tan(x)

root3/2

sin(x)

cos(x)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which angle corresponds to an x-value of root3/2 in the unit circle?

90°

60°

30°

45°

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you adjust the domain when the equation involves 2x instead of x?

No adjustment needed

Subtract 2

Multiply by 2

Divide by 2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What y-value does an angle of 135° produce in the unit circle?

0

root3/2

1/2

root2/2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result when sine of x equals cosine of x?

45°

90°

360°

180°

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which angles produce a y-value of a half?

90° and 270°

60° and 120°

45° and 135°

30° and 150°

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the factored form of the equation 2x^2 + 5x - 3?

(2x - 1)(x + 3)

(2x + 3)(x - 1)

(x - 2)(x + 3)

(x + 2)(x - 3)

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the maximum y-value possible in a unit circle?

1

2

3

-1

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you transform the Pythagorean identity to solve for sine squared?

cos^2(x) - 1

1 + tan^2(x)

sin^2(x) - 1

1 - cos^2(x)

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What angles need to be considered when the domain is extended to 4π?

0 to 180°

0 to 90°

0 to 720°

0 to 360°

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