Understanding Trigonometric Functions in Right Triangles

The video tutorial covers the basics of trigonometry, focusing on right triangles. It begins with constructing right triangles and using the Pythagorean theorem to calculate the hypotenuse. The tutorial then introduces the trigonometric functions sine, cosine, and tangent, using the mnemonic 'SOH CAH TOA' to remember their definitions. The video provides examples, including a detailed exploration of a 30-60-90 triangle, to illustrate how to calculate these functions and understand their relationships.

What is the length of the hypotenuse if one side of a right triangle is 7 and the other is 4?

• Square root of 49

• Square root of 65

• 13

• 11

Tags

CCSS.HSG.SRT.C.6

What does the mnemonic 'SOH CAH TOA' help you remember?

• The order of operations

• The trigonometric ratios

• The Pythagorean theorem

• The types of triangles

Tags

CCSS.HSG.SRT.C.6

How do you find the cosine of an angle using 'SOH CAH TOA'?

• Adjacent over opposite

• Opposite over adjacent

• Adjacent over hypotenuse

• Opposite over hypotenuse

Tags

CCSS.HSG.SRT.C.6

What is the sine of an angle if the opposite side is 7 and the hypotenuse is the square root of 65?

• 7 over 4

• 4 over 7

• Square root of 65 over 7

• 7 over square root of 65

Tags

CCSS.HSG.SRT.C.6

What is the tangent of an angle if the opposite side is 7 and the adjacent side is 4?

• Square root of 65 over 4

• 4 over square root of 65

• 7 over 4

• 4 over 7

Tags

CCSS.HSG.SRT.C.7

In a 30-60-90 triangle, what is the sine of 30 degrees?

• Square root of 3 over 2

• 1

• Square root of 2 over 2

• 1/2

Tags

CCSS.HSG.SRT.C.6

What is the cosine of 30 degrees in a 30-60-90 triangle?

• 1/2

• 1

• Square root of 3 over 2

• Square root of 2 over 2

Tags

CCSS.HSG.SRT.C.6

What is the tangent of 30 degrees in a 30-60-90 triangle?

• 1

• Square root of 3

• 1 over square root of 3

• Square root of 3 over 3

Tags

CCSS.HSG.SRT.C.6

What is the sine of 60 degrees in a 30-60-90 triangle?

• 1

• 1/2

• Square root of 2 over 2

• Square root of 3 over 2

Tags

CCSS.HSG.SRT.C.7

How are the sine of 30 degrees and the cosine of 60 degrees related?

• They are unrelated

• They are equal

• They are complementary

• They are inverses

Tags

CCSS.HSG.SRT.C.7