Given an angle evaluate all the trig functions

The video tutorial explains how to sketch angles and determine reference angles, identify points on the unit circle, and evaluate trigonometric functions. It covers calculating sine, cosine, and tangent values, as well as understanding reciprocal trigonometric functions like cosecant, secant, and cotangent. The tutorial emphasizes the importance of practice to recognize patterns in trigonometric calculations.

What is the reference angle for 7π/6?

• π/2

• π/4

• π/3

• π/6

Which coordinate point corresponds to the angle π/6 on the unit circle?

• (-1/2, -sqrt(3)/2)

• (sqrt(3)/2, 1/2)

• (-sqrt(3)/2, -1/2)

• (1/2, sqrt(3)/2)

What is the sine of 7π/6?

• 1/2

• -1/2

• sqrt(3)/2

• -sqrt(3)/2

What is the cosine of 7π/6?

• -sqrt(3)/2

• -1/2

• 1/2

• sqrt(3)/2

How do you calculate the tangent of 7π/6?

• y/x

• x+y

• x/y

• x-y

What is the cosecant of 7π/6?

• 2

• -2

• 1/2

• -1/2

What is the secant of 7π/6 after rationalizing the denominator?

• -2sqrt(3)/3

• 2/sqrt(3)

• -2/sqrt(3)

• 2sqrt(3)/3