Textbook questions for Math C30


Units of Study


Introduction to Circular Functions
1.1 Finding trig values given a coordinate
1.1 Finding various trig values given one trig ratio
1.1 Memorizing the special angles chart
1.1 Finding exact trig values (of a multiple of a special angle)
1.1 Finding an angle using inverse trig functions (eg. sin x = 0.16761)
1.2 Converting to and from degrees, minutes and seconds
1.2 Finding an angle using inverse trig functions (eg. sec x = 1.45654) giving answer in DMS
1.3 Converting from radian to degree measure, or degrees to radians (using a proportion)
1.3 Converting from radian to degree (using a calculator - TI-83)

Graphs of Circular Functions
2.1 Graph of y = sin x
2.1 Graph of y = cos x
2.1 Graph of y = tan x
2.3 Graph of y = -cos(2x + pi/3) -2 (finding important values/tick marks) (sketching the graph)
2.4 Graph of y = csc x
2.4 Graph of y = sec x
2.4 Graph of y = cot x
2.4 Graph of y = 3csc(1/3)(x pi/2)
2.5 Exampls of word problems involving circular functions
2.5 Solving equations containing circular functions (part 1) (part 2)

Solving Triangles
3.1 Solving a right triangle, given two sides
3.1 Solving a trig word problem involving line of travel
3.2 Solving a triangle using law of cosines
3.3 Law of sines example (acute triangle)
3.3 Law of sines example (assume obtuse)
3.4 Explanation of number of triangles, given A.S.S. information (then finding the acute or obtuse angle)
3.6 Finding the area of a triangle, given S.A.S information
3.6 Finding the area of a triangle, given A.S.A. information
3.6 Finding the area of a triangle, given S.S.S. information

Trigonometric Identities
4.1 8 Fundamental Identities
4.4 Tangent sum/difference identity (part 1) (part 2)
4.5 Applying double angle identities (part 1) (part 2)
4.6 Prove an identity (includes using a double angle identity)

Mathematical Proof

Conic Sections