Download Algebra 1A Review

Trigonometry Final Review
1. Find a positive co-terminal angle in degrees

a) 100
b)
4
2. Find a negative co-terminal angle in radians

a) 210
b) 
6
12. Solve between 0    360
a) cos  2 x   3   cos  2 x 
b) 2sin 2 x  3sin x  1  0
13. If the cos( ) 
cos ( u/2 )
3. Sketch
a) 160
4. Convert to the opposite form.
2
a)
9
5. Simplify/Verify:
sec 
 tan   cot 
a)
sin 
b)
b) 4radians
14. Sketch the appropriate triangle and find the
missing pieces. A  17 , b  119, c  52
b) 10
15. Sketch the appropriate triangle and find the
missing pieces. a  8, b  19, c  12
tan x sin x

csc x tan x
16. Find the area of #14 and #15.
17. Simplify:
c) csc y 
cos 2 y
 sin y
sin y
d)
1  tan 
 sec 
sin 
6. Solve between 0    360
1


a) sin(2 )  
b) tan   30   1
2
2

7. If the sin( ) 
and  .
6
in quadrant I; find sin 2u and
7
4
in quadrant I; find the cos( )
7
8. Graph clearly labeling all the critical values.
y  4sin  2   1
9. Graph clearly labeling all the critical values.
 
y  3 tan    1
2
10. Graph clearly labeling all the critical values.


y  3csc      2
4

11. Simplify.
a) sec2  cot   cot 
b)
sec x  tan x  csc x  1
csc x
tan x  cot x
18. A vector v has initial point (5, -1) and terminal
point (2,3). Find its component form, its
magnitude, write as a unit vector and find its
directed angle.
19. If u  1, 4 and v  5,2 , find the angle
between u and v.
20. Find the component form of a vector v with
magnitude 8 and an angle of 60 degrees.
21. Find the Cos 165 using the sum formula.