Solve a trigonometric equation for all the real solutions with sine

Solve a trigonometric equation for all the real solutions with sine

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial covers solving trigonometric equations with a focus on angle restrictions between 0 and 2π. It explains the concept of infinite solutions on the sine graph and demonstrates solving equations using factoring and the zero product property. The tutorial identifies specific angles where sine equals 0 or 1 and explores coterminal angles to find general solutions. The importance of finding solutions within the initial restriction before expanding to all possible angles is emphasized.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary focus when finding angles within the restriction of 0 to 2π?

Identifying angles on the unit circle

Finding angles on the sine graph

Calculating angles using the cosine graph

Determining angles using tangent values

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What method is used to solve trigonometric equations in the second section?

Graphical analysis

Factoring and Zero Product Property

Using trigonometric identities

Substitution method

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When sine is equal to 0, which coordinate is being referred to?

Z-coordinate

Y-coordinate

X-coordinate

W-coordinate

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can additional solutions be found for angles like π/2?

By adding multiples of 2π

By subtracting multiples of π

By subtracting 2π

By adding multiples of π

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of writing solutions in terms of coterminal angles?

It simplifies the calculation of angles

It helps in finding angles only between 0 and π

It allows for finding all possible angles

It restricts the solutions to a single angle