Trigonometric Functions and Their Representations

The video tutorial introduces trigonometric ratios, focusing on SOHCAHTOA for right triangles. It explains how to use these ratios to find angles and sides, and provides an example problem. The tutorial also covers using trigonometric ratios on a Cartesian plane, offering a method to find ratios without relying on opposite, adjacent, and hypotenuse. The video concludes with a brief mention of special angles and encourages viewers to explore further resources.

What does the 'O' in SOHCAHTOA stand for?

• Opposite

• Obtuse

• Orthogonal

• Origin

In a right-angled triangle, which side is opposite the right angle?

• Opposite

• Adjacent

• Hypotenuse

• Base

How is sine theta represented in terms of sides of a right-angled triangle?

• Adjacent over Hypotenuse

• Opposite over Hypotenuse

• Opposite over Adjacent

• Hypotenuse over Opposite

If the opposite side is 4 and the hypotenuse is 5, what is the sine of the angle?

• 0.9

• 0.75

• 0.6

• 0.8

In the example given, what is the length of the hypotenuse if the opposite is 4 and the adjacent is 3?

• 7

• 5

• 8

• 6

What is the formula for finding the hypotenuse using the Pythagorean theorem?

• a^2 = b^2 + c^2

• a^2 - b^2 = c^2

• a^2 + c^2 = b^2

• a^2 + b^2 = c^2

In the Cartesian plane, how is the distance from the origin to a point represented?

• x

• y

• r

• z

How is cosine theta represented in the Cartesian plane?

• x over r

• r over x

• y over r

• y over x

For a point (-5, 12) on the Cartesian plane, what is the value of r?

• 10

• 5

• 13

• 12

What is the tangent of an angle in terms of x and y in the Cartesian plane?

• x over r

• r over x

• y over x

• x over y