2.3 computing the values of trig functions of acute angles warm-up (in) learning objective: to...
TRANSCRIPT
2.3 Computing the Values of Trig Functions of Acute Angles
Warm-up (IN)
Learning Objective: To compute values of common trig expressions, both by hand and using a calculator - identifying when it's appropriate to do both.
1. Find the exact value of the five remaining trig functions, given:4
a. sin5
3
cos5
5a. sec
3
4tan
3
5csc
4 3
cot4
b. tan 2 6b. sin
3
3cos
3 6
csc2
sec 3 2cot
2
NOTES
30
1
2sin 30 1
2
cos30 2
tan 30 3
csc30
sec30
cot 30
2
3
60
3
3
3
2 3
3
sin 60
1
2cos 60
2
tan 60 3
csc60
sec60
cot 60
2
33
3
2 3
3
30 60 90
6 3 2
45
1
sin 45 2
cos 45 2
tan 45 1
csc 45
sec 45
cot 45
45
22
45 45 90
4 4 2
2
1
22
1
Ex 1 – Find the exact values of the given expressions. a. sin 45 tan 45
2
21
2
2
b. sec cot4 4
2 1 2
c. sin 45 cos30
2
22
3 4
6 d. tan sin4 3
1 2
3
2
2 3
2 2e. tan sin6 4
2
3
3
2
2
2
3
9 2
4 1
3 1
2 5
6
Ex 2 – Use a calculator to find the value of:
a. cos92 .03 b. csc 23 2.56
Put calc in degree mode!!
1sin 23
c. tan15
.21 Put calc back in
radian mode!!
HW – p. 149 #7-20, 25-27, 31-34, 36-38, 41-46
Out – Find the exact value of .
Summary - I think I need to…
24+ tan3