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Trig. Day 2
Pre-Calc. for AP Prep.
Date: ______
Warm Up
1)
Identify which trig. functions are positive in which quadrants.
2)
Define the following trig. functions in terms of sine and cosine
tan A 
3)
sec A 
csc A 
Find the value of the other trigonometric functions if:
sin   
5
, 270    360
13
cot A 
Trig. Day 2
Pre-Calc. for AP Prep.
Date: ______
Goal: To use reference angles and quadrants to develop a feel for trigonometric functions
of special and general angles. to connect special right triangles to the unit circle.
I. Evaluating trigonometric functions without a calculator.
 Angles with major angles as reference angles.
1. Determine the position (reference angle and quadrant) of the terminal
side.
2. Consider the length of the side opposite the reference angle
or adjacent to it and the definition of the trigonometric function to find
the value of the function.
3. Consider the quadrant when determining whether a trigonometric
function is positive or negative.

For quadrantal angles we need to remember the following:

2
0

3
2
2
sinx
cosx
tanx
Evaluate the following using the process described above. Leave answers in simple
radical form if necessary.
11
4
1) sin(570 )
2) cos 
4) sec(90 )
5) csc(-270 )
3) cot
7
6
6) sin(-750 )
7) cot
15
6
8) cos
CW: Day 2 CW WS
HW: Unit Circle Practice WS
27
6
9)
sec
11
4