Tutorial for evaluating the six trig functions given a coordinate point

The video tutorial explains the importance of triangles in evaluating trigonometric functions, emphasizing the use of reference angles and the coordinate system. It covers the calculation of trigonometric ratios using side lengths and the hypotenuse, demonstrating the process with examples and highlighting the need for understanding the unit circle and reference angles.

Why is a triangle necessary for evaluating trigonometric functions?

• Because it helps in visualizing angles

• Because trigonometric functions are defined based on triangles

• Because it simplifies calculations

• Because it is a basic geometric shape

What is a reference angle?

• An acute angle between the terminal side and the X-axis

• An angle that is always negative

• An angle that is always obtuse

• An angle that is equal to 90 degrees

In a coordinate system, when do values become negative?

• When moving above the X-axis

• When moving diagonally

• When moving below the X-axis or to the left of the Y-axis

• When moving to the right of the Y-axis

How do you find the hypotenuse of a triangle using the Pythagorean theorem?

• Multiply the two sides and take the square root

• Add the squares of the two sides and take the square root

• Subtract the squares of the two sides and take the square root

• Divide the two sides and take the square root

What is the sine of an angle in a right triangle?

• Opposite side over hypotenuse

• Adjacent side over hypotenuse

• Hypotenuse over opposite side

• Adjacent side over opposite side

What is the cosine of an angle in a right triangle?

• Adjacent side over hypotenuse

• Hypotenuse over adjacent side

• Opposite side over hypotenuse

• Opposite side over adjacent side

What is the tangent of an angle in a right triangle?

• Opposite side over adjacent side

• Adjacent side over opposite side

• Adjacent side over hypotenuse

• Hypotenuse over opposite side