How to use the unit circle to derive the tangent identity and the Pythagorean identity.
How to define the reciprocal trigonometric functions, the reciprocal identities, and the Pythagorean identities.
How to simplify a trigonometric expression by converting to sines and cosines and using algebra.
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 use the unit circle to derive identities that are useful in graphing the reciprocal trigonometric functions.
How to define the sine ratio and identify the sine of an angle in a right triangle.
How to define the cosine ratio and identify the cosine of an angle in a right triangle.
How to define the tangent ratio and identify the tangent of an angle in a right triangle.
How to use inverse trig functions to find angles in right triangles.
How to evaluate expressions like tan(sin (4/5))^(-1).
How to derive two more cosine double-angle formulas.