MAT 150, Trigonometry

Exit Skills

NC = no calculator suggested
WC = with calculator suggested

1. (NC) Convert angles between radian and degree measure.
2. (NC) Define the six trig functions of an angle within a right triangle.
3. (NC) Know the six trig functions of 30, 45, 60, 90 degrees (where defined) and be able to find the trig functions of other angles that have these as the reference angle.
4. (WC) Solve word problems using trig functions and the Pythagorean Theorem.
5. (WC) Solve right triangles using trig functions, inverse trig functions, and the angle sum in any triangle being 180 degrees.
6. (NC) Given one trig function value in a particular quadrant, be able to find the remaining five trig functions.
7. (NC) Know the circular definition of the trig functions.
8. (WC) Graph the six trig functions over one complete period, including the following information where appropriate: amplitude, period, phase shift, intercepts, any maximum or minimum points, and domain and range.
9. (NC) Know the domain and range restrictions for the inverse trig functions and find inverse trig function values of “nice values”, as .
10. (NC) Know the following identities (or be able to derive quickly): six reciprocal identities, three Pythagorean identities, six opposite angle identities, trig functions of a sum or difference of angles, trig functions of a double and half angle. Use these to prove identities using a variety of methods such as substitution, factoring, common denominators, and rationalizing using conjugates.
11. (NC) Solve computation problems using identities.
12. (WC) Solve trig equations by using identities, factoring, and the quadratic formula.
13. (WC) Know the Law of Sines (including when to use the ambiguous case) and use to solve appropriate triangles.
14. (WC) Know the Law of Cosines, and use to solve appropriate triangles.
15. (WC) Solve word problems using Laws of Sines and Cosines.
16. (WC) Find the area of sectors and (non-right) triangles.
17. (NC) Convert between rectangular and polar coordinates and graph polar
    equations.
18. (WC) Use DeMoivre’s Theorem and the Nth-Root Theorem when working
    with complex numbers.