Reminder: the Quiz tomorrow will be a one-tIme chance to raise your grade on Test 3 by solving a rational equation by clearing the denominators. (If you did the problem on Test 3 correctly, this quiz will give you a little extra credit. There are only two students this applies to!) Please read this post and also practice with the WeBWorK assignment “FractionalEquations”, problems 9, 10, and 11. (This assignment is closed, so you can read the solution and then use “show me another” for practice. Here are more video resources.
Here again is the trig identities made easier handout, with all the pretty colors. Your homework from this is to complete the problems on page 7 (not handed out in class), which are:
4) Using the method in the handout, show that:
(d) $\frac{\sin{x}\cos{x} + \sin{x}}{\cos{x} + \cos^{2}{x}} = \tan{x}$
(e) $\frac{(\sec{x} + \tan{x})(\sec{x} – \tan{x})}{\csc{x}} = \sin{x}$
(f) $\frac{\cot{x}}{\sec{x}} – \frac{\cos{x}}{\sin{x}} = \frac{\cos{x} -1}{\tan{x}}$
Also do problem 10 from the Final Exam Review sheet: MAT1275FinalReview
Possibly of interest: referring to problem 9, I looked up the ADA requirements for accessibility ramps, and this is what I found: the maximum “tilt” of the ramp can be specified as a slope (rise to “length”, which is the same a our “run”), as a percentage (usually called the “grade”), or in degrees. The maximum slope is 1:12 which corresponds to $\frac{1}{12}$ in fraction notation. Can you figure out how this translates into $8.33\%$ ?
You may finish the WeBWorK assignment on Trig Equations: if you do this by midnight tonight, you will get full credit; anything you do after that gets 75% credit.
