Download Radian and Degrees Review

Grade 11 Mathematics: Trigonometry Practice Sheet
1.
Sketch an angle of 135o.
2.
Sketch an angle of 1260o.
3.
Sketch an angle of –315o in standard position.
4.
Sketch 40o + n· 360o in standard position if n = 0, n = 1, n = 2, and n = –1.
5.
Sketch 30o + n · 180o in standard position if n = 0, n = 1, n = 2, and n = –1.
6.
Sketch 295o in the standard position. Mention its rotation using a curved
arrow.
7.
Sketch –295o in the standard position. Mention its rotation using a curved
arrow.
8.
9.
Check whether the angles 260o and 620o are coterminal or not.
0o
Find an angle that is coterminal with a 630o angle and which lies between
and 360o.
10.
Find an angle that is coterminal with a –175o angle and which lies
between 0o and 360o.
11.
Determine one positive angle and one negative angle coterminal with
810o.
12.
What is the angle in degrees, made by the hands of a clock at 10:00?
13.
Find the angle measure in radians made by the hands of a clock at 10:00.
14.
Convert 45o to radians. Write the answer as a rational number times π.
15.
Find the radian measure of 40o in terms of π and as a decimal rounded to
the nearest hundredth.
16.
Find the radian measure of 120o in terms of π and as a decimal rounded to
the nearest hundredth.
17.
Convert π/3 to degrees.
18.
Find the degree measure of –7 radians rounded to the nearest degree.
19.
Find the degree measure of 8.65 radians rounded to the nearest degree.
20. Find if the value of sin(–95o ) is positive, negative, 0 or undefined.
21. Find if the value of cos(3/4) is positive, negative, 0 or undefined.
22. Draw the angle 135o. Then find its reference angle.
23. What is the exact value of sin 330o?
24. Find sin θ and cos θ if θ is the angle between the x–axis and the ray OP,
where O is the origin and the point P (1/2, 3/2)is located on the unit circle.
25. Find sin θ and cos θ if θ is the angle between the x–axis and OP, where O is
the origin and the point P(0, 1) is located on the unit circle.
26. In the given figure, find the exact coordinates of the intersection of the unit
circle and the terminal side of the angle.
QuickTime™ and a
decompressor
are needed to see this picture.
27. Sketch an angle of –45o in standard position. Then find the exact values of the
cosine and the sine of –45o using a right triangle.
28.