Factor a trigonometric equation to determine all the solutions

Factor a trigonometric equation to determine all the solutions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial explains how to solve trigonometric equations by factoring and using the zero product property. It covers the process of identifying when to factor, applying the zero product property, and finding solutions using the unit circle. The tutorial also discusses how to determine all possible solutions by adding revolutions of 2π. The video concludes with a summary of the steps involved in solving trigonometric equations.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial step when you encounter a trigonometric equation with squared terms?

Directly solve for the angle

Apply the zero product property

Use the square root method

Factor the equation by treating trigonometric functions as variables

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When factoring a quadratic equation, what must the product of the two factors equal?

The leading coefficient

The constant term

The sum of the coefficients

The middle term

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which method is used to verify the factorization of a quadratic equation?

Substitution method

FOIL method

Unit circle method

Zero product property

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What property is applied after factoring to solve for Theta?

Zero product property

Sine rule

Pythagorean identity

Angle addition formula

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the Y-coordinate of a point on the unit circle when sine of an angle is 1/2?

1/2

0

1

sqrt(3)/2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which angle in the first quadrant corresponds to a sine value of 1?

π/6

π/2

5π/6

π

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you find all possible solutions for a trigonometric equation?

By subtracting multiples of 2π

By subtracting multiples of π

By adding multiples of 2π

By adding multiples of π