# Worksheet

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```Name: _________________
Analysis BC - Unit 1 Review
Mrs. Bailey
1) Convert to radians.
a) 145°
2) Convert to degrees.
7
a) 
8
b) -310°
b)
3
10
3) Find the (a) compliment and (b) supplement of the angle
4) Find the smallest positive coterminal angle to 
5) Evaluate
5
a) sin 
2
c) tan
5
3
e) sec
7
3
b) cos
3
4
d) csc
5
6
f) cot 
5
.
12
27
8
13
4
6) A toy plane is being swung on the end of a 60 inch string. It is swung 2.75 full
circles. How far has the plane traveled?
7) Find the 6 trig functions for the standard position angle θ whose terminal side
goes through (-5, -12).
8) Given sin(t) = ¾ and cos(t)<0 find the following.
a) cos(t)
b) csc(90° - t)
c) tan(t)
e) csc(t)
d) cot(t)
9) Given f(x) = 2sin(2x) + 3cos(3x), is f periodic? Is f a sinusoid?
10) Graph two periods of each of the following. (Check your answers using your calculator.)
a) y  2 cos( x  3 )
 x 3 
b) y   sin  
2
2 4 

c) y  2 tan( x  )
4
d) y   cot(2 x)
x
e) y  3csc(   )  1
3
2
f) y  4sec(2 x  )  2
3
g) y = 2x sinx
h) f(x) = 3x – cosx
11) (Use the calculator to do the number crunching for this one. The numbers
are uglier than on the test)
The number of hours of daylight, d, in Hartsville can be modeled
by
, where t is the number of days after March 21. The day
with the greatest number of hours of daylight has how many more daylight hours
(rounded to the nearest tenth) than May 1? (March and May have 31 days each. April
and June have 30 days each.)
Answers: 1) a) 29π/36
4)5π/8
b) -31π/18
2) a) -157.5° b)54°
3) a)π/12 b)7π/12
5) a) -1 b) -√2/2 c) -√3 d)2 e)2 f)-1 6) 330π inches
7) sinθ= -12/13, cosθ= -5/13, tanθ= 12/5, cscθ = -13/12, secθ=-13/5, cotθ = 5/12
8) a) -√7/4 b) -4/√7 c) -3/√7 d) -√7/3 e) 4/3
11) 0.8hrs
9) Is periodic, is not a sinusoid.
```