Math Analysis Honors – MATH Sheets
M = Modeling
A = Again
T = Today’s Topic
H = Homework
#90 Monday 2/2___________________________________
M
Ex. 1 Draw each angle in standard position
a. 30
b. 210
c. 45
d. 270
Ex. 2 Convert 42.4175 to DMS
Ex. 3 Convert 8745 ' 20" to decimal form
A
None
T
Trigonometric Functions
Drawing Angles in Standard Position
Decimal  D  M’S”
H
Worksheet 70
#91 Tuesday 2/3___________________________________
M
Ex. 1 Draw an angle that measures 1 radian
Ex. 2 A circle has a radius of 4 inches. Find the length of the arc intercepted by a central angle of 240 .
Ex. 3 Convert each Angle from Degrees to Radians
a) 135
b) 540
c) 270
Ex. 4 Convert each Angle from Radians to Degrees
2

a) 
b) 2 rad
c)
3
2
Ex. 5 Draw each angle in standard position

2
a)
b) 
3
A
T
H
3
c)
7
6
x2
. Identify the following: x- and y-intercepts,
x2 4
discontinuities (holes or asymptotes) and horizontal asymptote.
Trigonometric Functions – Radian and Degree Measure for Angles
Arc Length
Radian Measure of an Angle
Converting from Degrees to Radians
Converting from Radians to Degrees
Worksheet 71
Sketch a complete graph of the function: f x
#92 Wednesday 2/4______________________________________
M
Ex. 1 Find the exact values of the six trigonometric functions of  .
Ex. 2 Find the value of the indicated trigonometric function.
4
5
5
b) Find tan  if sin  
13
13
c) Find csc if sec 
4
a) Find sin  if cos 
A
Find a polynomial function with zeroes of 3, -2, and 4.
T
H
Trigonometric Functions – Right Triangle Trigonometry
Sine, Cosine, Tangent
Cosecant, Secant, Cotangent
Worksheet 72
#93 Thursday 2/5___________________________________
M
Ex. 1 Use a calculator to evaluate the trigonometric expression.


a) sin
b) tan
e) sin 60
f) cos 210
3
Ex. 2 Find the value of 
a) sin  
1
2
4
b) cos  0.717
Ex. 3 Find the value of  .
A
T
H
d) cos 
c) tan   3.456
2
2
Ex. 4 Solve the right triangle.
None
Right Triangle Trigonometry
- Solving Right Triangles
Worksheet 73
#94 Friday 2/6___________________________________
M
Ex. 1 Find the exact values of sin 45, cos45, and tan 45 . Hint: Build a 45-45-90 triangle
Ex. 2 Find the exact values of sin60, cos60, sin30, and cos30 . Hint: Build a 30-60-90 triangle.
Ex. 3 Find the exact value of 
a.
A
T
H
sin  
2
2
b. cos 
1
2
c. tan   1
d. sin  
1
2
None
45-45-90 and 30-60-90 triangles
Worksheet 74
#95 Monday 2/9___________________________________
M
Ex. 1 Solve the right triangle with hypotenuse of 8 and an acute angle measuring 37
Ex. 2 A safety regulation states that the maximum angle of elevation for a rescue ladder is 72 . A fire
department’s longest ladder is 110 feet. What is the maximum safe rescue height?
Ex. 3 A swimming pool is 20 meters long and 12 meters wide. The bottom of the pool is slanted such
that the water depth is 1.3 meters at the shallow end and 4 meters at the deep end. Find the angle of
depression of the bottom of the pool.
A
Convert the angle measure from radians to degrees.
1. 8.5
2. -0.48
T
Applications of Trigonometry
Angle of Elevation
Angle of Depression
H
Worksheet 75
#96 Tuesday 2/10___________________________________
M
None
A
None
T
Trigonometric Functions Quiz – DMS, Arc Length, Radians and Degrees, Right Triangles, 45-45-90
30-60-90
H
None
#97 Wednesday 2/11___________________________________
M
Ex. 1 Find a positive and a negative co-terminal angle for each of the following angles.
a) 75
b) 120
c) 135
2
13
3
d)  
e)  
f)   
3
6
4
Ex. 2 Let  3, 4  be a point on the terminal side of  . Find the sine, cosine and tangent of  .

3
Ex. 3 Evaluate the sine and cosine functions at the angles 0, ,  ,and
.
2
2
x7
.
x  4x  4
2) Identify the domain of the function: f  x   x  3 .
A
1) Identify the domain of the function: f  x  
T
H
Trigonometric Functions of Any Angle
Worksheet 76
2
#98 Thursday 2/12___________________________________
M
Ex. 1 Find the reference angle  ' .
a)   3 0 0 
b)   120
c)   135
Ex. 2 Evaluate each trigonometric function.
a) cos135
b) tan  210  
c) sin  330 
A
T
H
d) sin 240
Evaluate the difference quotient for f  x   x 2  3x  4 .
Trigonometric Functions of Any Angle Using Reference Angles - Degrees
Worksheet 77
#99 Tuesday 2/17___________________________________
M
1. Evaluate each of the following:
3
4
13
 
a) cos
b) sin
c) tan   
d) cos
4
 6
3
6
2. Evaluate the six trigonometric functions at each real number.
9

a) t 
b) t 
c) t  3
6
4
d) t 
A
Find the distance and midpoint between the points 8,5 and  0, 20 
T
H
Trigonometric Functions of Any Angle Using Reference Angles - Radians
Worksheet 78

2
#100 Wednesday 2/18___________________________________
M
Find cos  and tan  by using the given information to construct a reference triangle.
3
and tan   0
7
b) Find tan  if sec   3 and sin   0
c) Find cos if cot  is undefined and sec is negative
a) Find cos if sin  
A
T
H
Write the standard form of the equation of the circle that has endpoints of a diameter at  0, 0  and  6,8
Using One Trig Ratio to the Find the Others
Worksheet 79
#101 Thursday 2/19___________________________________

M
1) Name 4 angles whose cosine is the same as cos .
4
2) Evaluate the following without a calculator:
a) csc 45
b) sec120
c) tan(135)
3) Evaluate the following without a calculator:
7
3
 4 
a) cos
b) sin   
c) csc
4

3
4
d)
d) tan
A
None
T
Trigonometric Functions of Real Numbers – The Unit Circle
H
Worksheet 80 – The Unit Circle
#102 Friday 2/20______________________________________
M
None
A
None
T
The Unit Circle
H
Worksheet 81 - Trigonometry Review – Test on Monday
#103 Monday 2/24______________________________________
M
None
A
None
T
Trigonometry Test
H
None
7
6
e) cot  3 