The ebook Elementary Calculus is based on material originally written by H.J. Keisler. For more information please read the copyright pages.


Example 1: Arc Sine

Find arccos (√2/2). From Table 7.1.1, cos (π/4) = √2/2. Since 0 ≤ π/4 ≤ π,

arccos (√2/2) = π/4.

 

Table 7.1.1

θ in radians

0

07_trigonometric_functions-13.gif

07_trigonometric_functions-14.gif

07_trigonometric_functions-15.gif

07_trigonometric_functions-16.gif

07_trigonometric_functions-17.gif

π

07_trigonometric_functions-18.gif

θ in degrees

30°

45°

60°

90°

135°

180°

270°

360°

sin θ

0

1/2

√2/2

√3/2

1

√2/2

0

-1

0

cos θ

1

√3/2

√2/2

1/2

0

-√2/2

-1

0

1


Last Update: 2006-11-15