Pre-Calc Final Exam

6.1 & 6.2 Angle Measure; Trigonometry of Right Triangles • Degrees and radians • Angles in standard position • Trig ratios: opposite, adjacent, hypotenuse • Solve right triangles and applications 6.3 Trig Functions of Angles • Given P(z, y) and let r = Va2 + y?, define the trig finetions. • Sign of sin 8, cos, and tan 8 in all 4 quadrants. • Special angles and trig values on the unit circle. • Use reference angle to find values of trig functions. • Given one trig function, find the other five. 5.1 & 5.2 The Unit Circle; Trig Functions of Real Numbers • P(x, y) on unit circle: 22 + y= 1 • I: are length on unit circle corresponding to the angle, same as the angle in radian. Counterclockwise: t > 0, clockwise: t < 0. • 1 = terminal point P(r,y) = x = costy = sint. • Find a andy values of terminal points by using reference numbers t. • Reciprocal identities and Pythagorean identities. 5.3 & 5.4 Trig Graphs • Graphs of sine and cosine and their transformations. y = a sin k(x - b) and y = acosk(x - b) • Amplitude, period, and phase shift of sine and cosine. • Graphs of tangent, cotangent, secant, and cosecant, and their transformations. • Period, phase shift, and vertical asymptote. 5.5 & 6.4 Inverse Trig Functions • Inverse sine, cosine and tangent. Domain and range. • The cancellation properties. • Find exact values of inverse trig functions. • Values of composition of trig and inverse trig functions with special angles and non-special angles.