Trigonometric Functions and Inverses

This video tutorial by Longo provides a comprehensive review of the unit circle, covering both radians and degrees. It explains how to fill out the first quadrant, understand tangent values, and use reference angles to find trigonometric function values. The tutorial also covers reciprocal trigonometric functions like cosecant, secant, and cotangent, and introduces inverse trigonometric functions, highlighting their rules and applications. The video aims to reinforce understanding of these concepts, preparing students for more advanced topics.

What is the starting angle in degrees for the unit circle?

• 45 degrees

• 90 degrees

• 30 degrees

• 0 degrees

In radians, what is the equivalent of 90 degrees?

• π/4

• π/6

• π/3

• π/2

How are the x and y coordinates simplified in the unit circle?

• By multiplying by 3

• By multiplying by 2

• By dividing by 2

• By dividing by 3

What is the x-coordinate at 45 degrees in the unit circle?

• √3/2

• 0

• √2/2

• √1/2

What is the tangent of 45 degrees?

• 0

• 1

• √3

• Undefined

How is tangent calculated in terms of sine and cosine?

• Sine multiplied by cosine

• Cosine divided by sine

• Sine divided by cosine

• Cosine multiplied by sine

What is the reference angle for 5π/6?

• π/3

• π/6

• π/4

• π/2

Which quadrant is sine positive in?

• Quadrant III

• Quadrant II

• Quadrant I

• Quadrant IV

What is the reciprocal of sine known as?

• Cotangent

• Secant

• Tangent

• Cosecant

What is the secant of an angle if the cosine is 1/2?

• Undefined

• 2

• 1

• 1/2