Download 5.2 Day 4

Advanced Algebra and Trig – Section 5.2 Day 4 – Special Triangles – Day #2
Remember: Special Triangle Theorems:
EXAMPLES: Find the values of the missing sides of each triangle. Evaluate the trig function.
1)
2)
Find sin 60 =_______
3)
Find cos 60 =_______
Find tan 60 =_______
___________________________________________________________________________________
5 2
x
4)
60
y
66
34
xa
y
Find sin 45 =_______
5)
y
Find cos 30 =_______
6)
60
c
x
Find tan 60 =_______
8.
Find sin 60 =_______
9.
Find cos 60 =_______
Find tan 45 =_______
Find tan 60 =_______
Find sin 45 =_______
Find cos 45 =_______
Find sin 30 =_______
Find cos 45 =_______
Find tan 45 =_______
Find cos 60 =_______
Find cos 60 =_______
Find sin 45 =_______
More Practice!
Use a calculator to find the value of the trigonometric function to three decimal places.
 Set calculator to degree mode
 sin 42 ENTER
(graphing calculator)
____________________
ENTER
o
2) cos 23
____________________
sin  is the ratio,
h
42 is the angle
3) tan 45.7
____________________
0.669 is the value of sin 30
___________________________________________________________________
4) csc 23
 Remember the Reciprocal Trig functions!
1
1
1
Csc  =
Sec  
Cot  
sin
cos 
tan 

sin
2
3
)
ENTER
 Use the keys 1
1) sin 42
(Remember that
____________________
1
means reciprocal.)
x
5) cot 45.7
____________________
6) sec 23
____________________
7) csc 60
____________________
8) cos

 Set calculator to Radian mode.
 cos (   4 ) ENTER
(graphing calculator)
4
____________________
9) sin
10) tan
3
5

3
____________________
____________________
___________________________________________________________________

 Remember the Reciprocal Trig functions!
11) csc
6
1
1
1
Csc  =
Sec  
Cot  
sin
cos 
tan 
 Use the keys
__________________
12) cot
13) csc
14) sec

6

3

3
_____________________
____________________
____________________
1

ENTER
sin


6
)
Using the special right triangles and the trig ratios, evaluate these expressions.
Rationalize denominators if necessary.
1) sin 45
2) cos 30
3) tan 60
4) sin 30
5) cos 45
6) tan 45
7) tan 30
8) cos 60
9) sin 60