Understanding Sine, Cosine, and Tangent

The video tutorial introduces the basic trigonometric ratios: sine, cosine, and tangent. It explains how to identify the opposite, adjacent, and hypotenuse sides of a right triangle from different angles. The sine ratio is demonstrated using angle A, the cosine ratio with angle D, and the tangent ratio with angle E. Each section provides examples with specific side lengths to illustrate how to set up and calculate these ratios.

What is the sine of an angle defined as?

• Adjacent side over opposite side

• Opposite side over hypotenuse

• Adjacent side over hypotenuse

• Opposite side over adjacent side

Which side is opposite the right angle in a right triangle?

• Hypotenuse

• None of the above

• Opposite side

• Adjacent side

Tags

CCSS.HSG.SRT.C.6

How do you determine the opposite side when finding the sine of angle A?

• It is the side opposite the right angle

• It is the longest side of the triangle

• It is the side next to angle A

• It is the side across from angle A

Tags

CCSS.HSG.SRT.C.6

What is the cosine of an angle defined as?

• Hypotenuse over adjacent side

• Opposite side over adjacent side

• Opposite side over hypotenuse

• Adjacent side over hypotenuse

In a right triangle, which side is considered the hypotenuse?

• The side adjacent to the right angle

• The side adjacent to the acute angle

• The side opposite the right angle

• The side opposite the acute angle

Tags

CCSS.HSG.SRT.C.6

How do you identify the adjacent side when finding the cosine of angle D?

• It is the side opposite the right angle

• It is the side opposite angle D

• It is the side next to angle D

• It is the longest side of the triangle

Tags

CCSS.HSG.SRT.C.6

What is the tangent of an angle defined as?

• Adjacent side over hypotenuse

• Hypotenuse over opposite side

• Opposite side over adjacent side

• Opposite side over hypotenuse

Tags

CCSS.HSG.SRT.C.6

Which trigonometric function does not use the hypotenuse?

• Tangent

• None of the above

• Sine

• Cosine

Tags

CCSS.HSG.SRT.C.6

When finding the tangent of angle E, which sides are used?

• Adjacent and hypotenuse

• Opposite and hypotenuse

• Hypotenuse and adjacent

• Opposite and adjacent

Tags

CCSS.HSG.SRT.C.6

What is the first step in identifying sides for trigonometric ratios?

• Identify the angle

• Identify the opposite side

• Identify the adjacent side

• Identify the hypotenuse

Tags

CCSS.HSG.SRT.C.6