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Advanced Algebra w/ Trig
Name___________________________________
Quarter Four Review
5) Find all six EXACT trig ratios for 120e .
1) Find the smallest positive coterminal angle
with 756e.
2) Solve for a using cofunction.
sin 5a = cos 4a
3) If cos q = -
4
, with q in Q III, find the
5
EXACT value for csc q.
4) If cos q = -
sin=_____
csc=_____
cos=_____
sec=_____
tan=_____
cot=_____
6) Find all six trigonometric functions for 315e.
1
, and tan < 0, find the EXACT
2
value for sec q.
1
sin=_____
csc=_____
cos=_____
sec=_____
tan=_____
cot=_____
7) Find all values of q if q is in the
interval 0e , 360e )
1
and cosq = .
2
10) Find the EXACT value of cos
3p
.
2
11) Convert 240e to radians. (no calc)
8) Use a calculator (in degrees) to find the value
of q in cosq = 0.6354 where q is in the interval
0e , 360e )
12) Convert
5p
to degrees.
45
13) Find sec 3.2341 in radians.
9) Find the EXACT value of tan
4p
.
3
14) In RADIAN mode, use your calculator to find
the two angles in the interval 0, 2p)
when sin s = .3540.
2
15) Graph y = 4 sec 3 (x -
p
) - 2
3
17) Graph y = 3 tanx - 2
A=
VS=
PS=
P=
s=
e=
A= _____
VS= _____
PS = _____
P= _____
start = _____
end = _____
16) Graph y = -3 sin (4x -
p
) + 5
2
A= _____
Simplify.
VS= _____
18)
cosx cscx
tanx
19)
cscx
- tanx
cosx
PS = _____
P= _____
start = _____
end = _____
3
Solve the following trig equations if 0 ≤ x ≤ 2p
20) tan2x ( cot2x - cos2x )
21) cotx œ secx
22)
=
24) 2sinx = -1
cscx
25) 2sin2x - 3sinx - 2 = 0
sin2x
= 1 + cosx
1 - cosx
26) 2cos2x - 1 = sinx
23)
tan2x + 1
= csc2x
tan2x
27) sin2x = - cosx
4