Challenging Topics From the Course:
Proving Identities:
1. cos x cot x + sin x = csc x
2. cos x / sec x + sin x / csc x = 1
Dec 2­9:13 AM
Application involving solving right triangles.
Ex: A boat travels on a course of bearing S 63o E at a speed of 35 mph for 1.5 hours. How far south and east did it travel?
Dec 2­9:17 AM
1
Reference Angles
Find θ to the nearest tenth of a degree with 0 <= θ <= 360.
1. tan θ = 0.5890 and θ is in QIII
2. sec θ = ­3.4159 and θ is in QII
Dec 2­9:19 AM
Graphing trig equations.
Make a table of values and graph one complete cycle of y = 2 + 3 sin(π x)
Dec 2­9:23 AM
2
Finding equations from graphs:
Find a cosine function to match the following graph:
Dec 2­9:24 AM
Sum & Difference Formulas
1. Use a sum or difference formula to find the EXACT value of sin(75o)
Dec 2­9:28 AM
3
Double­Angle Formulas
Simplify:
1. sin(π/8)cos(π/8)
2. 2cos2105o­1
Dec 2­9:30 AM
Half­ Angle Formulas
Use a half­angle formula to find EXACT values for cos(7π/12)
Dec 2­9:32 AM
4
Dec 3­10:08 AM
Solving Trig Equations
1. Find all exact solutions for x between 0 and 2π.
4 cos2x­4sinx­5=0
Dec 2­9:33 AM
5
Vectors & Work Problems
A package is pushed across a floor a distance of 52 feet by exerting a force of 15 pounds downward at an angle of 25o with the horizontal. How much work is done?
Dec 2­9:36 AM
Switching between Polar & Rectangular Coordinates
Convert the point (­3,­2) to polar coordinates.
Dec 2­9:39 AM
6
Classifying Conic Equations
Classify the graph of each equation as a circle, a parabola, an ellipse, or hyperbola.
1. 2.
3.
4.
5.
Dec 4­11:20 AM
Dec 3­10:40 AM
7