Evaluating Trigonometric Functions with the Unit Circle

This video is part two of the unit circle series. It begins with a recap of part one, where the basic trigonometric functions and their reciprocals were introduced. The video then provides examples of calculating these functions for angles of 315 and 135 degrees using the unit circle. The instructor explains the process step-by-step, emphasizing the relationships between the functions and their reciprocals.

What is the radius of the unit circle?

• π

• 2

• 1

• 0

What is the reciprocal of the sine function?

• Secant

• Cotangent

• Cosecant

• Cosine

For an angle of 315 degrees, what is the cosine value?

• 1/√2

• √2/2

• -√2/2

• 0

For an angle of 315 degrees, what is the sine value?

• 1

• -1

• -√2/2

• √2/2

What is the value of tangent at 315 degrees?

• 1

• 0

• -1

• Undefined

What is the cosecant of 315 degrees?

• -√2/2

• -2/√2

• √2/2

• 2/√2

For an angle of 135 degrees, what is the cosine value?

• √2/2

• -√2/2

• 1

• -1

What is the value of tangent at 135 degrees?

• 1

• -1

• Undefined

• 0

What is the secant of 135 degrees?

• -2/√2

• √2/2

• -√2/2

• 2/√2

What is the reciprocal of tangent?

• Sine

• Cosine

• Cotangent

• Secant