Chapter 6 Summary and Review

Study Guide

KEY TERMS AND CONCEPTS EXAMPLES
SECTION 6.1: TRIGONOMETRIC FUNCTIONS OF ACUTE ANGLES

Trigonometric Function Values of an Acute Angle θ

Let θ be an acute angle of a right triangle. The six trigonometric functions of θ are as follows:

sin θ =opphyp,csc θ=hypopp,cos θ=adjhyp,sec θ =hypadj,tan θ =oppadj,cot θ=adjopp.

If cos α=38 and α is an acute angle, find the other five trigonometric function values of α.

We find the missing length using the Pythagorean equation: a2+b2=c2.

a2+32=82

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