Download Lesson 13-2 Reciprocal Trig Functions

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DATE: ___________________
Algebra 2: Lesson 13-2 Reciprocal Trig Functions
Learning Goals:
1. What are the reciprocal trig functions?
2. How do we create a right triangle when given a trig ratio?

What does the term “reciprocal” mean?

What are the 3 trigonometry ratios for sine, cosine, and tangent?
Sine
Cosine

COSECANT is the reciprocal trigonometry function of ______________

SECANT is the reciprocal trigonometry function of _________________

COTANGENT is the reciprocal trigonometry function of _____________
Cosecant
csc  =
Secant
sec  =
EXAMPLE: Find the values of the six trigonometric functions for angle A.
Tangent
Cotangent
cot  =
1. In triangle ABC, C is the right angle, AB = 4, and CB = 3. Evaluate the six trigonometric ratios of angle B and
write all answers in simplest radical form.
How to draw and label a right triangle when given a ratio.
2. In each example, draw and label an appropriate right triangle.
a) sin  
7
11
b) cos  
5
12
c) tan  
d) csc  
15
8
e) sec  
14
9
f)
cot  
7
6
16
11
3. Find the value of the trig function indicated.
5
a) Find csc if tan  
12
c) Find tan  if sec  2
b) Find cos  if csc  1.75
d) Find sec if sin  
3 13
13
4. Find the values of the other 5 trigonometric functions, in simplest radical form, if csc x 
7
.
6
5. Using the triangle at the right, find the value of
(1)
(2)
(3)
(4)
.