Trigonometric functions: Difference between revisions

Revision as of 23:01, 10 January 2006

Revision as of 05:51, 13 January 2006

Line 213:

=== The significance of radians ===

Radians specify an angle by measuring the length around the path of the circle and constitute a special argument to the sine and cosine functions. In particular, only those sines and cosines which map radians to ratios satisfy the differential equations which classically describe them. If an argument to sine or cosine in radians is scaled by frequency,

:<math>f(x) = \sin(kx); k \ne 0, k \ne 1 \,</math>

then the derivatives will scale by ''amplitude''.