Page 43 - Calculus Workbook For Dummies

27
Chapter 2: Funky Functions and Tricky Trig

i Use the triangle to complete the table below.
2
sin45c = csc45c = 2
2
2
cos45c = sec45c = 2
2
tan45c = 1 cot45c = 1
j Using your results from problems 7, 8, and 9, fill in the coordinates for the points on the unit
circle.

y
(0, 1) 1 3
1 3
− 2 2
2 2
2 2 2 2
− 120˚ 60˚
2 2 2 2
135˚
3 1 3 1
− 45˚
2 2 150˚ 2 2
(-1, 0) (1, 0)
30˚
x
-45˚
210˚
3 1 330˚ 3 1
− − 225˚ −
2 2 2 2
240˚ 315˚
2 2 2 2
− − −
2 2 300˚ 2 2
1 3 1 3
− − −
2 2 (0, -1) 2 2
k Complete the following table using your results from problem 10.
tan120c = - 3 csc180c = undefined
3
csc150c = 2 cot300c = -
3
cot270c = 0 sec225c = - 2

l Convert the following angle measures from degrees to radians or vice versa.
5 π 4 π
150c = radians = 240c
6 3
5 π 7 π
225c = radians = 315c
4 4
5 π 5 π
300c = radians = 450c ^ coter minal with 90ch
3 2
- 60c = - π radians - 7 π = - 210c ^ coter minal with 90ch
3 6