Trigonometric Ratios and Equivalent Angles

Trigonometric Ratios and Equivalent Angles

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

The video tutorial by Amal Kumar explains how to find equivalent trigonometric ratios for angles between 0 and 360 degrees. It covers the CAST rule to determine the sign of trigonometric functions in different quadrants and how to find related acute angles. The tutorial provides step-by-step solutions for sine 210 degrees, cosine -200 degrees, and cotangent 45 degrees, emphasizing the importance of understanding quadrant signs and acute angles to derive equivalent ratios.

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32 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of the practice question introduced by Amal Kumar?

Finding equivalent trigonometric ratios

Learning about geometric shapes

Solving quadratic equations

Understanding calculus concepts

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the CAST rule help determine?

The length of a hypotenuse

The sign of trigonometric functions

The area of a triangle

The quadrant of an angle

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant is the angle 210 degrees located?

Quadrant I

Quadrant II

Quadrant IV

Quadrant III

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the related acute angle for sine of 210 degrees?

45 degrees

90 degrees

60 degrees

30 degrees

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is an equivalent trigonometric ratio for sine of 210 degrees?

-cos(30 degrees)

cos(30 degrees)

-sin(30 degrees)

sin(30 degrees)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which quadrant is associated with a negative sine value for 210 degrees?

Quadrant IV

Quadrant I

Quadrant II

Quadrant III

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equivalent angle for sine 210 degrees in Quadrant IV?

210 degrees

30 degrees

330 degrees

150 degrees

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