Google Classroom
GeoGebraGeoGebra Classroom

Copy of Exact values on the unit circle (degrees)

Exact values around the unit circle.

Explore Unit Circle

Answer these questions

Q1

Use the Applet to Drag the Green point on the circle to make an angle of 120 degrees and write the reference angle for 120 degrees and Enter the Value of

Q2

Use the Applet to Drag the Green point on the circle to make an angle of 210 degrees and write the reference angle for 210 degrees and Enter the Value of

Q3

Use the Applet to Drag the Green point on the circle to make an angle of 240 degrees and write the reference angle for 240 degrees and Enter the Value of . Describe why the value is positive or negative? (tangent is ratio of sine and cosine)

Q4. Drag the Point to the angle 330 degrees and answer these question

a. What are the other angles which can give the value the same as of sin(330)? b. What are the other angles which can give the value the negative of sin(330)?

Q5. Describe these in terms of values of sine, cosine and tangent

a)What is the general relationship between the values (with sine and cosine) of two angles if they differ by 360 degrees, Like sin(30) and sin(390). b)What is the general relationship between the values of two angles if they differ by 180 degrees, Like cos(120) and cos(300) or 30 and 210. c) What is the general relationship between the values of two angles if they differ by 90 degrees, Like 60 and 150 or 45 and 135.