Exploring Trigonometric Ratios from Points

The video tutorial covers the basics of reference angles and trigonometric functions, including sine, cosine, tangent, and their reciprocal functions. It explains how to evaluate these functions using a coordinate plane and provides a sample problem to demonstrate the application. The lesson concludes with a review of the objectives and an exit ticket for students.

What is the reference angle for an angle of 325 degrees?

• 65 degrees

• 55 degrees

• 45 degrees

• 35 degrees

Which pair of trigonometric functions are reciprocal to each other?

• Tangent and Cotangent

• Cosine and Secant

• Sine and Cosine

• Sine and Cosecant

What is the reciprocal of tangent?

• Cosecant

• Cotangent

• Cosine

• Secant

How is the distance R from the origin to a point (X, Y) calculated?

• R = X/Y

• R = X + Y

• R = X^2 + Y^2

• R = sqrt(X^2 + Y^2)

What is the sine of an angle in terms of Y and R?

• Y/R

• R/Y

• R/X

• X/R

If the terminal side of a rotation angle passes through the point (3, 4), what is the cosine of this angle?

• 3/5

• 5/3

• 4/5

• 3/4

What is the cotangent of an angle if its tangent is 4/3?

• 3/4

• 4/3

• 3/5

• 5/3

What is the secant of an angle if its cosine is 3/5?

• 4/5

• 5/4

• 3/5

• 5/3

In which quadrant does a rotation angle with a terminal side at the point (12, -5) lie?

• Quadrant IV

• Quadrant I

• Quadrant III

• Quadrant II

How do you evaluate cosecant given a rotation angle?

• Hypotenuse over opposite side

• Adjacent side over opposite side

• Opposite side over hypotenuse

• Opposite side over adjacent side