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Math 1060 Test Objectives
The unit circle is very important in Math 1060 (trigonometry) so at BHS we will have an Exam over the unit
circle…We call this Exam “A”.
Math 1060 (BHS Exam 1)
SLCC Midterm 1 Test Objectives (Sections 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 2.1, 2.2, 2.3, 2.4)
Your exam will be “closed book” - no notes or formula cards allowed. Calculators will *NOT* be allowed on
a significant portion of the test. (Calculators may be allowed for some applied problems and arithmetic
intensive problems.) Please see the suggested review problems below for guidelines on calculator use.
Chapter 1:
1) Find coterminal angles.
2) Convert units: degrees, minutes, seconds to decimal degrees and vice versa
3) Convert from radians to degrees and from degrees to radians.
4) Find arc length and the area of a sector.
5) Solve problems involving linear and angular speed.
6) Know how to obtain the trig functions of an angle in standard position given a point on the terminal side.
7) Know and use the reciprocal identities. Also, know tan a  sin a
cos a
8) Know the values of the trig functions of “common” angles: 0,  ,  ,  , 
6 4 3 2
9) Know the signs of the trig functions in each quadrant.
10) Combine items 7 and 8 to find the values of the trig functions of all the “common” angles between 0 and 2π
11) Find the trig values of angles larger than 90 °using a reference angle.
12) Solve right triangles (including applications). This may involve the following
a) Find the length of a side of a right triangle by using the Pythagorean theorem.
b) Evaluate expressions involving inverse trig functions.
Here are some suggested review problems from chapter 1 that indicate which type of problem should be
completed without a calculator.
Chapter 1 Review Exercises pp. 102 - 104
Do *not* use a calculator: 5, 9, 13, 17, 18, 19 – 38, 51 – 58, 65 Calculator is okay: 2, 7, 59, 67, 71, 75, 76, 77
Chapter 1 Test p. 105 Do *not* use a calculator: 1 – 12, 16, 19 Calculator is okay: 13, 14, 15, 17, 18, 20, 21, 22
Chapter 2: Graph and analyze trigonometric functions (without a calculator):
1) Graph the sine and cosine functions.
2) Identify and use amplitude, period, and phase shift to graph transformations of sine and cosine.
3) Write an equation of the form y = A sin (B[x – C]) +D or y = A cos ( B[x – C]) +D when given the graph of a
sinusoidal function.
4) Find the frequency of sine and cosine functions. Understand the relationship between frequency and the period of
the function. You should be able to find the period when given the frequency and vice versa.
5) Graph secant and cosecant functions and their transformations. Be able to state all the vertical asymptotes and
identify the period.
6) Graph tangent and cotangent functions and their transformations. Be able to state all the vertical asymptotes and
identify the period.
7) Know how to find the domain and range of trig functions.
Math 1060 (BHS Exam 2) Midterm 2 Test Objectives (3.1, 3.2, 3.3, 3.4, 3.5, 4.1, 4.2, 4.3, 4.4 )
Your exam will be “closed book” - no notes or formula cards allowed. Calculators will *NOT* be allowed on
a significant portion of the test.
Chapter 3: (No calculators allowed for these problems.)
Work with trigonometric identities:
1) Express tangent, cotangent, secant, and cosecant in terms of sine and/or cosine.
2) Use the Pythagorean Identities.
3) Use the Odd and Even Identities.
4) Combine items 1-3 to simplify trigonometric expressions or prove that an equation is an identity.
5) Use the sum and difference identities and cofunction identities to simplify an expression, find the exact value of a
trigonometric expression or prove that an equation is an identity.
6) Use the double-angle identities (and half-angle identities) to simplify an expression, find the exact value of a
trigonometric expression or prove that the equation is an identity.
Chapter 4: (Calculators may be allowed for some problems. Please see the suggested review problems below
for guidelines on calculator use.)
Understand Inverse Trigonometric Functions:
1) Find exact values of inverse trigonometric functions. You must know the range of the inverse trigonometric
functions to find these values.
2) Find exact values of compositions of trig functions and inverse trig functions.
3) Convert compositions to algebraic expressions.
Solve Trigonometric equations:
3) Solve basic trig equations.
4) Solve multiple angle equations.
5) Solve trig equations of quadratic type and equations that require the use of trigonometric identities.
Here are some suggested review problems from chapter 4 that indicate which types of problems should be
completed without a calculator.
Do *not* use a calculator:
Chapter 4.1 p. 220; 95-104
Ch 4 Review Exercises pp. 248 – 250:1– 38, 46, 48, 65-76, 79, 81, 82, 84, 85, 89, 90, 96 and
Ch 4 Test p. 250: 1 – 15, 18, 20
Calculator is okay: P. 220: 38,39,43,46,49,51 and
Chapter 4 Review Exercises pp. 248 – 250: 80, 103
Chapter 4 Test p. 250: 16, 21
Math 1060 (BHS Exam 3) SLCC Midterm 3 Test Objectives (5.1, 5.2, 5.3, 5.4, 5.5, 6.2, 6.3)
Your exam will be “closed book” - no notes or formula cards allowed. Calculators will be allowed on this test,
but you must show your work for credit.
Solve Oblique Triangles:
1) Use the Law of Sines to solve triangles—including the ambiguous case.
2) Use the Law of Cosines to solve triangles.
3) Find the area of a triangle.
Work with Vectors:
4) Find scalar multiples, sums, and differences of vectors algebraically and geometrically.
5) Find horizontal and vertical components of a vector.
6) Find magnitude and direction of a vector.
7) Find the dot product.
8) Find the angle between vectors.
9) Solve application problems involving vectors.
Work with Complex Numbers:
10) Find the absolute value or modulus of a complex number.
11) Graph complex numbers.
12) Given a complex number in standard form, a bi , write the number in trigonometric form.
13) Given a complex number in trigonometric form, write the number in standard form,
a bi .
14) Find products and quotients of complex numbers using trigonometric form.
15) Find powers and roots of complex numbers using trigonometric form.
(BHS: Exam 4) SLCC Sections 6.4 and 6.5 will be covered on the final exam. For these sections:
1) Graph points in polar form.
2) Convert coordinates: rectangular polar.
3) Convert equations: rectangular polar.
4) Graph polar equations (cardioid, limaçon, lemniscate, rose, lines, and circles), finding exact (r, θ) points that lie
on the graph.
5) Complete a “t-x-y table” and graph a curve defined parametrically.
6) Eliminate the parameter in a pair of parametric equations.
7) Write a pair of parametric equations for a line segment given the endpoints, or a portion of a circle centered at the
origin given the radius.