Homework Quiz



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 ( initial & terminal sides

( complementary & supplementary ( coterminal

( standard position of an angle ( radians

( central angles & arc length ( unit circle

( trigonometric functions ( periodic functions

( even & odd functions ( cofunctions

( reciprocal functions ( identities

( reference angle ( period

( amplitude ( key points

( inverse functions ( one to one functions

( angle of elevation/depression

Radian & Degree Measure

• 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

• 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

• 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

• 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!)

• 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

• 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

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