NAME:___________________________________
Algebra2/Trig – Exact Values with Reciprocal Trigonometry Functions CLASSWORK
DATE:__________
PERIOD:________
LEARNING GOAL: How can we find the exact value of the reciprocal trig functions

COSECANT is the reciprocal
trigonometry function of
_____________

csc θ 
SECANT is the reciprocal
trigonometry function of
_____________
sec θ 

COTANGENT is the
reciprocal trigonometry
function of _____________
cot θ 
Find the exact value of each of the following:
30
45
60
sin 
cos 
tan 
 How can we use the table above to fill in the table below?
Find the exact value of each of the following:
30
csc 
sec 
cot 
45
60
LEARNING GOAL: How can we find the exact value of the reciprocal trig functions
 RECIPROCAL TRIG FUNCTIONS WITH THE CALCULATOR
Find the value of each function, rounded to three decimal places.
csc  118 
cot  4920' 
 5 
sec  
 6 
 FINDING EXACT VALUES OF RECIPROCAL TRIG FUNCTIONS



When our angle moves out of the first quadrant, we must be aware of the sign of our function value.
The reference angle is used to find the trigonometric function values of angles in Quadrants II, III and IV.
Remember: The reference angle is measured from the terminal side of the original angle "to" the x-axis
(not the y-axis).
 Remember: The acronym ASTC is used to help remember where trig functions are positive.
1. Find the exact value of cot 30 and express your answer in simplest radical form.
2. Find the exact value of sec 210 and express your answer in simplest radical form.
3.
What is the exact value of csc  ?
(1) 0
(2) 1
(3) -1
(4) ∅
4. Find the exact value of sec

4
and express your answer in simplest radical form.
 11 

 6 
5. Find the exact value as a single fraction in simplest radical form: cot 
6. Find the exact value as a single fraction in simplest radical form:
csc( 
8
)
3