Evaluating for all six trig functions for a point on the unit circle

The video tutorial covers evaluating trigonometric functions for the angle 3π/4. It begins with an overview of the homework and playlist, followed by locating 3π/4 on the unit circle. The instructor explains how to memorize the unit circle's points and angles, discusses reflections, and calculates trigonometric functions including sine, cosine, tangent, and their reciprocals.

What is the first step in evaluating trigonometric functions for a given angle?

• Determine the quadrant of the angle

• Find the sine of the angle

• Calculate the tangent of the angle

• Locate the angle on the unit circle

Which of the following points corresponds to the angle 3π/4 on the unit circle?

• (1/2, sqrt(3)/2)

• (-sqrt(2)/2, sqrt(2)/2)

• (-1/2, sqrt(3)/2)

• (sqrt(2)/2, sqrt(2)/2)

What is the sine of the angle 3π/4?

• sqrt(2)/2

• -sqrt(2)/2

• 1/2

• -1/2

How is the cosine of an angle represented on the unit circle?

• As the X-coordinate

• As the Y-coordinate

• As the tangent

• As the hypotenuse

What is the tangent of the angle 3π/4?

• 1

• -1

• sqrt(3)

• 0

What is the cosecant of the angle 3π/4?

• -sqrt(2)

• 2

• sqrt(2)

• -2

Which reciprocal function is calculated as 1 divided by the cosine of an angle?

• Tangent

• Secant

• Cotangent

• Cosecant