Trigonometric Equations and Identities

Trigonometric Equations and Identities

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Liam Anderson

FREE Resource

The video tutorial covers solving trigonometric equations, focusing on simplifying complex equations using trigonometric identities like the Pythagorean identity. It emphasizes the importance of keeping terms on one side for factorization and solving for solutions. The tutorial also highlights the use of graphs to find solutions and stresses the importance of using radians over degrees. The teacher guides students through the process, encouraging them to think critically and apply mathematical concepts effectively.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary goal when starting to solve a trigonometric equation?

To find the exact values of sine and cosine

To simplify the equation into a manageable form

To convert all angles to degrees

To memorize all trigonometric identities

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric identity is used to simplify the equation in the video?

Sine Rule

Tangent Identity

Pythagorean Identity

Cosine Rule

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What substitution is made using the Pythagorean identity?

sinx is replaced with cosx

tan²x is replaced with sin²x + cos²x

sin²x is replaced with 1 - cos²x

cos²x is replaced with 1 - sin²x

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it beneficial to keep everything on one side of the equation?

To avoid using trigonometric identities

To prepare for factorization

To simplify the equation

To make the equation longer

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many solutions should you find for the given trigonometric equation?

Five

Two

Three

Four

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a common mistake students make when solving trigonometric equations?

Using radians instead of degrees

Forgetting to convert back to radians

Using the wrong trigonometric identity

Not simplifying the equation

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to use radians instead of degrees in trigonometric equations?

Radians are more accurate

Radians are easier to calculate

Degrees are not used in trigonometry

The domain is often given in radians

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