Trigonometric Ratios and Right Triangles

Trigonometric Ratios and Right Triangles

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Lucas Foster

FREE Resource

The video tutorial introduces the topic of right angle triangles, focusing on Pythagoras' theorem and its applications. It discusses common Pythagorean triples and explains why certain numbers are frequently used. The tutorial also covers the concept of rational and irrational numbers, particularly in the context of Pythagorean calculations. It then transitions to trigonometric ratios, introducing key angles and their significance. The video concludes with a detailed explanation of calculating exact values for sine, cosine, and tangent, emphasizing the importance of these calculations in trigonometry.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the most common Pythagorean triple used in right angle triangles?

7, 24, 25

5, 12, 13

3, 4, 5

1, 2, 3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why do we often use the same numbers in right angle triangle problems?

They are easy to remember

They result in neat whole numbers

They are the only numbers that work

They are the largest numbers possible

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a number called when its decimal goes on forever without repeating?

Integer

Whole

Rational

Irrational

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which angles are commonly used in trigonometric ratios for right angle triangles?

45, 60, 75

15, 30, 45

30, 45, 60

60, 75, 90

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sine of 30 degrees?

0.707

1

0.5

0.866

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a right angle triangle with a 30-degree angle, if the opposite side is 3 cm, what is the length of the hypotenuse?

3 cm

12 cm

6 cm

9 cm

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cosine of 30 degrees?

0.5

0.707

0.866

1

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