Download IO1 - I can evaluate the six trigonometric functions for angles on the

IO1 - I can evaluate the six trigonometric functions for
angles on the unit circle.
Evaluate each of the following the expressions.
3
A. sin
4
11 

B. cos  

 6 
 4 
tan
C.
 
 3 
 17 
sec
D.


 3 

E. arcsin  

1

2
 3
G. arccos  
 2 
F. cot 1  1
1  2
3
H. csc 

 3 
SOLUTIONS
1
2
or
A.
2
2
3
C.
D. 2
7 11
,
E.
6
6
G.
 11
6
,
B.
3
2
6
3 7
,
F.
4
4

2
,
H.
3 3
IO2 - I can sketch the graphs of a sine and cosine
function.
Sketch two cycles of each graph.
A. y   2  5 sin x
B. y   6 sin 3x 
C. y  4 cos 5 x 
D. y  3  6 cos x
SOLUTIONS
6
3
A.
B.
-2
-6
-7
9
C.
4
D.
3
-4
-3
IO3 – Given the values of one trigonometric function, I
can find the values of all the remaining trigonometric
functions.
A.
3
If cos  
and tan   0 , evaluate
11
sin  and cot 
B. A.
3
8
If cot   and    
, evaluate
2
5
csc  and sec 
SOLUTIONS
A. sin   
B. csc   
112
11
cot   
89
5
sec   
3
112
89
8
IO4 - I can solve trigonometric equations using radian
answers when the arguments for the trigonometric
functions are all x’s.
Solve for x on the domain 0  x  2
A. 2 sin x cos x  cos x  0
B. 2 cos2 x  cos x  1
C. 3 cot 2 x  1  0
SOLUTIONS

3  5
A. x 
,
,
,
2
2
6
6
2 4
B. x  0 ,
,
3
3

2 4 5
C. x  ,
,
,
3 3
3
3
IO6 - I can solve trigonometric equations using radian
answers when a substitution is first required.
Solve for x on the domain 0  x  2
A. sec x  2 tan x  0
B. cos2 x  2 sin x  2  0
C. tan 2 x  3  3 sec x
SOLUTIONS
7 11
A. x 
,
6
6
B. x 
C. x  0 ,

2
 5
3
,
3
IO7 - I can verify trig identities.
Show that the expression on the left hand side is equivalent to the
expression on the right hand side.
A. sin x cos x
sec x  1
B.
tan x
and
tan x
sec x  1
and
cos 2 x  sin 2 x
C.
1  2 sin x cos x
tan x
1  tan 2 x
and
cot x  1
cot x  1