MAT 122 COLLEGE TRIGONOMETRY
Learning Outcomes
1. Right Triangle Ratios. The student should:
a. Convert angles measures between decimal degree form and degree-minute-second form
b. Calculate the area of a sector using degree measurement
c. Solve applications using similar triangles
d. Evaluate trigonometric and inverse trigonometric functions with a calculator
e. Solve right triangles using trigonometric ratios
f. Solve applications involving right triangles
2. Trigonometric Functions. The student should:
a. Convert angle measures between degrees and radians
b. Evaluate arc length and area of a sector using radians
c. Find exact values of trigonometric functions using reference angles
d. Evaluate exact values of trigonometric functions with quadrantal angles or multiples of 30 and
45
e. Use the unit circle to find exact values of trigonometric functions
f. Simplify expressions using fundamental identities
3. Graphing Trigonometric Functions. The student should:
a. Sketch and identify the period, domain and range of the six basic trigonometric functions
b. Describe transformations of graphs involving amplitude, phase shift, and period.
4. Identities. The student should:
a. Simplify expressions using reciprocal, quotient, negative, and Pythagorean identities.
b. Verify identities involving sum and differences and cofunction identities
c. Use double-angle or half-angle identities to verify and evaluate expressions
5. Inverse Trigonometric Functions and Trigonometric Equations. The student should:
a. Find exact values of inverse trigonometric functions including compositions
b. Write algebraic expressions free of trigonometric or inverse trigonometric functions
c. Solve trigonometric equations using identities and algebra
d. Solve trigonometric equations using a graphing calculator
6. Triangle. The student should:
a. Use the Law of Sines to solve applications
b. Compute the area of a triangle
7. Polar Coordinates; Complex Numbers. The student should:
a. Convert between polar and rectangular coordinates
b. Sketch polar equations
c. Plot complex numbers on the complex plane
d. Convert complex numbers between the polar and rectangular forms
e. Use DeMoivre’s Theorem to find the value of an expression or the roots of an equation.
