CCA2 Aim 53 Cofunctions.notebook
January 13, 2017
HW: P. 366 #6, 9, 11-14, 22*, P. 427-428#3, 5, 7, 13*, 24, 28
QUIZ ON WEDNESDAY, 1/18 on Aims 47 - 53
Aim #53: What is the relationship between trigonometric cofunctions?
Kickoff: Using a calculator, determine the following:
o
o
a. sin 10
d. cos 80
o
b. tan 40
o
c. sec 1
o
e. cot 50
o
f. csc 89
What relationship do you notice?
Sep 4­8:29 PM
Would you like some
Co-Co?
Do You Speak Math?
cofunction - complementary functions
o
sin θ = cos (90 - θ)
o
tan θ = cot (90 - θ)
o
sec θ = csc (90 - θ)
Feb 13­7:09 PM
1
CCA2 Aim 53 Cofunctions.notebook
January 13, 2017
Mod Prob: Express each function in terms of its cofunction:
o
a. cos 63
b. tan 32
o
c. sec
Feb 5­7:35 PM
Co-Function Equations
Mod: Solve for β:
o
a. sin β = cos (β + 20)
Try: Solve for x:
o
o
b. sec x = csc (2x + 15)
o
Feb 5­7:35 PM
2
CCA2 Aim 53 Cofunctions.notebook
January 13, 2017
Feeling Fancy?
True or False?
o
a. cot 20 = tan 70
Did you Know?
Only tan θ and cot θ
are ________ functions
and _______ functions!
o
o
b. cot 20 =
o
o
c. sin 10 = csc 80
o
d. csc 80 =
Jan 27­3:16 PM
1. Find the exact value for the following: 2. Determine the quadrant where θ must lie if tan θ <0 and csc θ >0.
o
3. Convert 315
to radians. o
4. Name two angles coterminal to ­225
. Jan 7­8:13 PM
3