Understanding the Sine Ratio

This video tutorial by Mr. B covers the sine ratio in right triangle trigonometry. It explains how to identify the hypotenuse, opposite, and adjacent sides of a triangle and how to use the sine ratio to find unknown angles and side lengths. The video includes examples of calculating sine ratios and demonstrates the use of the inverse sine function to determine angles. It also covers solving for missing side lengths using the sine ratio and cross-multiplication techniques.

What is the sine ratio used for in trigonometry?

• Finding the area of a triangle

• Determining the ratio of the opposite side to the hypotenuse

• Calculating the perimeter of a triangle

• Finding the length of the adjacent side

Which side of a right triangle is always the longest?

• Opposite side

• Adjacent side

• Hypotenuse

• Base

Tags

CCSS.HSG.SRT.C.6

In a right triangle, if the opposite side is 3 and the hypotenuse is 4, what is the sine ratio?

• 3/5

• 4/3

• 3/4

• 4/5

Tags

CCSS.HSG.SRT.C.6

What is the sine ratio for a triangle with an opposite side of 5 and a hypotenuse of 13?

• 5/12

• 5/13

• 12/13

• 13/5

Tags

CCSS.HSG.SRT.C.8

How do you find an angle using the sine ratio?

• Using the Pythagorean theorem

• Using the inverse sine function

• Multiplying the opposite side by the hypotenuse

• Dividing the hypotenuse by the opposite side

Tags

CCSS.HSG.SRT.C.8

What is the inverse sine function used for?

• Finding the length of the adjacent side

• Finding the angle when the sine ratio is known

• Finding the length of the opposite side

• Finding the length of the hypotenuse

Tags

CCSS.HSG.SRT.C.8

If the sine of an angle is 21/29, what is the angle approximately?

• 46 degrees

• 30 degrees

• 45 degrees

• 60 degrees

Tags

CCSS.HSG.SRT.C.6

What is the sine ratio for an angle with an opposite side of 48 and a hypotenuse of 50?

• 24/25

• 48/50

• 25/24

• 50/48

Tags

CCSS.HSG.SRT.C.8

How do you find the hypotenuse if you know the opposite side and the angle?

• Using the tangent function

• Using the sine function and cross-multiplication

• Using the cosine function

• Using the Pythagorean theorem

Tags

CCSS.HSG.SRT.C.8

If the opposite side is 10 and the angle is 25 degrees, what is the hypotenuse approximately?

• 20.5 units

• 23.7 units

• 27.1 units

• 25.3 units

Tags

CCSS.HSG.SRT.C.8