Trigonometric Angles and Functions

The video tutorial covers coterminal angles in both degrees and radians, using the unit circle and reference angles to find exact values of trigonometric functions. It explains right triangle trigonometry, including special triangles, and how to identify quadrants based on the signs of trigonometric functions. The tutorial also introduces the hand trick for determining coordinates on the unit circle.

What is the positive coterminal angle of 225 degrees?

• 135 degrees

• 585 degrees

• 45 degrees

• 315 degrees

If an angle is -700 degrees, what is a positive coterminal angle?

• 360 degrees

• 20 degrees

• 340 degrees

• 700 degrees

What is the negative coterminal angle of 1π/4 radians?

• -3π/4

• -5π/4

• -9π/4

• -7π/4

In which quadrant is the angle 2π/3 located?

• First

• Third

• Second

• Fourth

What is the reference angle for 7π/6?

• π/2

• π/3

• π/6

• π/4

What is the reference angle for 135 degrees?

• 90 degrees

• 60 degrees

• 30 degrees

• 45 degrees

What is the reference angle for 267 degrees?

• 87 degrees

• 47 degrees

• 93 degrees

• 113 degrees

What is the exact value of sine for 45 degrees?

• 1

• √3/2

• 1/2

• √2/2

What is the exact value of tangent for 240 degrees?

• √3

• -√3

• 1

• -1

What is the cosecant of 3π/4?

• √3

• √2

• 1/√2

• 2