Unit Circle

Convert the following to degrees:
-8π/5 radians

• -288⁰

• -260⁰

• -275⁰

Match the following vocabulary related to the Unit Circle

• radian

• measure of a central angle of a circle that intercepts an arc = in length to the r of that circle

• radian measure

• states that the square of the cosine of a given angle + the square of the sine of that angle = 1

• arc length

• the ratio of the arc length formed by an angle divided by the r of that circle

• quadrantal angle

• an angle whose terminal sides lies on an axis

• Pythagorean Identity

• the length of the curve formed by an arc

Now, for Quadrant I of the Unit Circle, please complete the coordinates before we move onto finish Degrees to Radians. Recall the importance of Desmos. Recall the importance of thinking in terms of two number lines intersecting at, "(0, 0)."

b

a

c

Identify the Positive angle in both radians and degrees that represent point D.

Identify the Positive angle in both radians and degrees that represent point I.

What is tan 90°?

• 1
• undefined
• 0
• ½

Match the following basic trigonometry vocabulary with their definitions:

• hypotenuse

• description of positive and negative angles in standard position sharing the same terminal side

• coterminal angles

• the side of an angle at which rotation ends

• unit circle

• the position of an angle havin the vertex at the origin& the initial side along the positive x-axis

• terminal side

• the side of a right triangle opposite the right angle

• standard position

• a circle with a center at (0,0)

In the context of a Unit Circle:

What is the approximate most accurate simplification of 0.866, one-half [either the y or x half; (x, y)] of a coordinate pair in a cartesian Unit Circle representation, which of course does not reach a Unit Square point like, "(1, 1),"

• 
• 
• 
• 

Being careful to not match colors, but radians for letters a (30 degrees), b (45 degrees), and c (60 degrees) - what matching best completes Quadrant I of the Unit Circle with Radian Measures?

• a

• 
• c

• 
• b

• 

Being careful to not match colors, but radians for letters a (120 degrees), b (135 degrees), and c (150 degrees) - what matching best completes Quadrant II of the Unit Circle with Radian Measures?

• a

• 
• c

• 
• b

• 

Answer explanation

Thank you.

Please be prepared for additional unit circle questions on the next test and also throughout the rest of maths in your lives, as it is a vital concept.