Exploring the Sine Ratio in Trigonometry

The video tutorial introduces trigonometry in the context of geometry, focusing on the sine ratio. It explains the relationship between the sides and angles of right triangles, emphasizing the sine ratio as opposite over hypotenuse. Through examples, the tutorial demonstrates how to calculate sine ratios, find unknown side lengths, determine the hypotenuse, and use inverse sine to find angles. The tutorial provides clear, step-by-step instructions for using trigonometric functions in practical scenarios.

What is the sine ratio in trigonometry?

• Adjacent over Hypotenuse

• Opposite over Hypotenuse

• Adjacent over Opposite

• Hypotenuse over Opposite

Which acronym helps remember the sine ratio?

• SOT

• SOH

• CAH

• TOA

When finding the sine of angle A, which side is considered the opposite?

• The side adjacent to angle A

• The hypotenuse

• The side opposite to angle A

• The side opposite to the right angle

If the sine of angle B is 8/17, which sides are being compared?

• Hypotenuse and Adjacent

• Opposite and Hypotenuse

• Adjacent and Hypotenuse

• Opposite and Adjacent

How do you set up the equation to find an unknown side using the sine ratio?

• Sine(angle) = Adjacent/Hypotenuse

• Sine(angle) = Opposite/Hypotenuse

• Sine(angle) = Hypotenuse/Opposite

• Sine(angle) = Adjacent/Opposite

What is the value of x if sin(50) = x/9?

• 8.89

• 9.89

• 7.89

• 6.89

What is the shortcut for finding x when it is in the denominator in a sine ratio equation?

• Add the hypotenuse to both sides

• Swap the positions of x and the sine value

• Divide both sides by the hypotenuse

• Multiply both sides by the hypotenuse

If sin(30) = 12/x, what is the value of x?

• 12

• 18

• 30

• 24

Which function is used to find an angle when given the sine ratio?

• Inverse Tangent

• Inverse Sine

• Inverse Secant

• Inverse Cosine

What is the angle measurement if sin^(-1)(7/10) is calculated?

• 30.42 degrees

• 44.42 degrees

• 50.42 degrees

• 60.42 degrees