Download Chapter Summary/Review Sheet

Precalculus
Chapter Four Review
Trigonometric Functions
This Study Guide offers a general overview of the material you will be expected to know for the test. It does not however cover
everything in the chapter. As such, its purpose is to supplement your notes and homework as you prepare.
Vocabulary:
 angle
 complementary & supplementary
 standard position of an angle
 central angles & arc length
 trigonometric functions
 even & odd functions
 reciprocal functions
 reference angle
 amplitude
 inverse functions
 angle of elevation/depression
 initial & terminal sides
 coterminal
 radians
 unit circle
 periodic functions
 cofunctions
 identities
 period
 key points
 one to one functions
 Radian & Degree Measure
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Conversions
The arc length formula and how to use it
Positive and negative angles and sketching them in standard position
 Trig Functions & The Unit Circle
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Using points on the unit circle to calculate exact values for the six trig functions
Definition of a periodic function
Domain & Range of the trig functions
 Right Triangle Trigonometry
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Know and apply the 30-60-90 and 45-45-90 triangles.
Using the trigonometric ratios to solve right triangles
Know and apply the reciprocal, quotient, and pythagorean identities (p 334)
 Trig Functions of Any Angle
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Given a point on the terminal side of an angle, evaluate the six trig functions for the angle.
Using reference angles to evaluate exact values for the six trig functions
 Graphs of the Trigonometric Functions (without the aid of a calculator!)
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Be able to graph sine and cosine by locating the period, amplitude, and key points
Graph tangent and cotangent by finding the asymptotes, the period, and key points
Graph secant and cosecant by first graphing their reciprocal functions
Be able to write the equation of a trig function based upon its graph
 Inverse Trigonometric Functions
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Understand the graphs and domain & range issues for arcsin, arccos, and arctan
Evaluating expressions involving inverse trig functions and using them to solve equations
Applications to solving right triangles, angles of elevation/depression