How to simplify a trigonometric expression by converting to sines and cosines and using algebra.
How to define the reciprocal trigonometric functions, the reciprocal identities, and the Pythagorean identities.
How to solve a simple sine equation: sin (theta) = 1/2.
How to solve a sine equation by factoring: 4 [sin(theta)]^2 = 2.
How to find the speed of transit when the time of two different legs is known.
How to multiply two complex numbers in trigonometric form.
How to divide two complex numbers in trigonometric form.
How to solve word problems about values and number of coins.
How to solve word problems about the ages of two people.
How to strategize about solving a problem with trapezoidal arches.
How to use the unit circle to derive identities that are useful in graphing the reciprocal trigonometric functions.
How to write equations for and graph word problems.
How to solve a problem when asked to switch the digits of a 2-digit number.
How we measure airspeed, wind, groundspeed, and other variables in navigation.