How to solve a trigonometric equation zero product property

How to solve a trigonometric equation zero product property

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers solving trigonometric equations involving tangent and cosine. It begins by setting equations to zero and explores angles where tangent equals -1, specifically at 3π/4 and 7π/4. The tutorial also identifies when cosine equals -1, which occurs at π. The explanations include references to the unit circle and the properties of trigonometric functions.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the zero product property used for in trigonometric equations?

To find the sum of angles

To set each factor equal to zero

To divide angles

To multiply angles

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following angles has a tangent value of -1?

π

3π/4

π/2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant is the tangent of an angle negative?

Third quadrant

Second quadrant

Fourth quadrant

First quadrant

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reference angle for 7π/4?

π/4

π/2

π/3

π/6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

At which angle is the cosine of Theta equal to -1?

π

π/2

3π/2