Trigonometric Functions in Right Triangles

Trigonometric Functions in Right Triangles

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Patricia Brown

FREE Resource

This video tutorial by Paul introduces the trigonometric functions sine, cosine, and tangent, explaining their relationships with the sides of a right triangle. It covers the definitions and calculations of these functions, illustrating how sine is the ratio of the opposite side to the hypotenuse, cosine is the ratio of the adjacent side to the hypotenuse, and tangent is the ratio of the opposite side to the adjacent side. The video also explains how tangent can be expressed as sine divided by cosine, and provides an example calculation using a right triangle with specific side lengths.

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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the side opposite the 90° angle in a right triangle called?

Base

Hypotenuse

Adjacent

Opposite

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric function is defined as the ratio of the opposite side to the hypotenuse?

Cosine

Sine

Tangent

Secant

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the cosine of an angle in a right triangle calculated?

Opposite divided by Adjacent

Adjacent divided by Hypotenuse

Opposite divided by Hypotenuse

Hypotenuse divided by Opposite

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the tangent of an angle in a right triangle?

Hypotenuse divided by Adjacent

Adjacent divided by Hypotenuse

Opposite divided by Hypotenuse

Opposite divided by Adjacent

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the tangent of an angle also be expressed?

Cosine minus Sine

Sine multiplied by Cosine

Cosine divided by Sine

Sine divided by Cosine

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example problem, what is the length of the hypotenuse?

3

4

5

6

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sine of theta in the example problem?

3/5

5/3

4/5

5/4

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