Evaluate for your six trig functions given an angle on the x axis

The video tutorial explains the concept of the unit circle and how angles on it can be represented using coterminal angles. It demonstrates finding coterminal angles by subtracting multiples of 2π and evaluates trigonometric functions at specific points on the unit circle, highlighting the redundancy of extra revolutions. The tutorial also covers the calculation of sine, cosine, tangent, and their reciprocal functions, emphasizing the importance of understanding coterminal angles and their applications in trigonometry.

What is the purpose of using coterminal angles on the unit circle?

• To measure the diameter of the circle

• To calculate the area of the circle

• To simplify the representation of angles

• To find the exact length of the circle

How do you find the smallest coterminal angle for 5π?

• Divide by 2π

• Multiply by 2π

• Subtract 2π until the angle is between 0 and 2π

• Add 2π until the angle is less than 2π

What is the sine of the angle π on the unit circle?

• Undefined

• 1

• 0

• -1

Which trigonometric function is undefined at the angle π?

• Cosecant

• Tangent

• Cosine

• Sine

What is the value of the cosine function at the angle π?

• Undefined

• 1

• -1

• 0