Solve trigonometric equation with sine and tangent

Solve trigonometric equation with sine and tangent

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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Quizizz Content

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The video tutorial covers solving trigonometric equations using the zero-product property. It begins with an introduction to isolating trigonometric functions and progresses to solving equations involving multiple functions. The tutorial explains how to solve for tangent and sine, using examples to illustrate the process. Key concepts include setting equations to zero, factoring, and rationalizing denominators. The session concludes with a summary and a preview of the next problem.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step when dealing with equations involving multiple trigonometric functions?

Ignore the other functions

Solve for each function separately

Set the equation equal to zero

Add all functions together

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When applying the zero-product property, what must be true about the product?

It must be greater than zero

It must be a positive integer

It must be less than zero

It must equal zero

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

At which points does tangent of x equal zero?

x = pi/2 and 3pi/2

x = 0 and pi

x = pi/6 and 5pi/6

x = pi/4 and 3pi/4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of sine of x when it equals 1 divided by the square root of 2?

pi/2

pi/3

pi/4

pi/6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which angles satisfy the equation sine of x equals square root of 2 over 2?

pi/4 and 3pi/4

pi/2 and 3pi/2

pi/6 and 5pi/6

pi/3 and 2pi/3