Download Trigonometry Review Test #1

Trigonometry Fall 2015
Test #1 Review:
Section
Key Skills
3.1
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Identify the quadrant in which an angle or arc is located
Find a complementary, supplementary, or coterminal angle or arc
Express angles and arcs in both degree and radian measure
Solve applied problems with angles and arcs
--arc length, sector area, linear velocity, and angular velocity
3.3
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Evaluate trigonometric functions using right triangles
Evaluate trigonometric functions of common acute angles
Solve right triangles using trigonometric functions and their inverses
Solve applied right triangle problems
3.2
 Evaluate trigonometric functions using angles in standard position
 Evaluate trigonometric functions of common angles in any quadrant
1.2-1.5
 Evaluate trigonometric functions using arcs on the unit circle
 Evaluate trigonometric functions of common arcs in any quadrant
 Evaluate trigonometric functions using the basic identities
--Pythagorean, quotient, reciprocal, negative, and cofunction
Test #2 Review:
Section
Key Skills
2.1, 2.2
 Graph the sine and cosine functions and their transformations
 Identify amplitude changes, vertical reflections, vertical shifts, period
changes, and phase shifts for the sine and cosine functions
2.4
 Graph the other trigonometric functions and their transformations
 Identify vertical stretches, vertical reflections, vertical shifts, period
changes, and phase shifts for the other trigonometric functions
4.1
 Simplify expressions and verify identities using the basic trigonometric
identities along with algebraic techniques
4.2, 4.3
 Evaluate trigonometric functions using the sum & difference formulas
 Evaluate trigonometric functions for arcs in the  12 family
4.4
 Evaluate trigonometric functions using the double angle formulas
4.5
 Evaluate trigonometric functions using the half-angle formulas
 Evaluate trigonometric functions for arcs in the  8 family
Test #3 Review:
Section
Key Skills
2.5
 Find common arcs given an inverse trigonometric value
 Evaluate expressions containing both trigonometric and inverse
trigonometric functions
5.2, 5.3
 Solve a variety of trigonometric equations using a combination of
algebraic techniques and trigonometric knowledge
3.4
 Solve SAA, ASA, and SSA triangles using the Law of Sines
 Solve application problems using the Law of Sines
 Find the area of a SAS triangle
3.5
 Solve SAS and SSS triangles using the Law of Cosines
 Solve application problems using the Law of Cosines
 Find the area of a SSS triangle
Test #4 Review:
Section
Key Skills
6.2
 Express vectors in both standard and unit vector form
 Calculate quantities using vector arithmetic
--sum, difference, constant multiple, linear combination
 Calculate the magnitude and direction angle of a vector
 Calculate the dot product of two vectors
 Calculate the angle between two vectors
 Calculate the component of one vector along another vector
6.3
 Express coordinates in both polar and rectangular form
 Express equations in both polar and rectangular form
 Identify graphs of equations in both polar and rectangular form
6.4, 6.5
 Express complex numbers in both trigonometric and standard form
 Evaluate products, quotients, powers, and roots of complex numbers
written in trigonometric form
5.4
 Express equations in both parametric and rectangular form
 Identify graphs of equations in both parametric and rectangular form