reciprocal trig functions convert between radians and degrees

NAME:______________________________________________________
Algebra 2 – Unit 13 Test Review CLASSWORK
DATE:____________
PERIOD:__________
RECIPROCAL TRIG FUNCTIONS

COSECANT

SECANT

COTANGENT
is the reciprocal trigonometry function of _________________
is the reciprocal trigonometry function of _________________
is the reciprocal trigonometry function of _________________
Cosecant
Secant
csc  =
Cotangent
cot  =
sec  =
CONVERT BETWEEN RADIANS AND DEGREES

Method 1: Proportion to
convert both ways


What is the measure of  radians in degrees?
Method 2: Convert from
Radians to Degrees using
Reference Sheet

Method 3: Convert from
Degrees to Radians using
Reference Sheet
COFUNCTIONS

Sine and Cosine are cofunctions. This means that their values are equal when their angles are
______________________
Symbols:
Symbols:
Example:
Example:
EXACT VALUES TABLE
UNIT CIRCLE

The unit circle is a circle centered at the origin with a radius of __________

In the unit circle, the coordinates

A helpful identity from the unit circle is
can be written as __________________
ASTC

Use the acronym ASTC to help determine where the six trig functions are ___________ or ___________

There is a pattern! Look at when Sine, Cosine, and Tangent are positive.
________ of them are positive in Quadrant I
Short Cut
____________ is positive in Quadrant II
____________ is positive in Quadrant III
S
A
T
C
____________ is positive in Quadrant IV
REFERENCE ANGLES
DIRECTIONS: Find the reference angle in each example below.
EXACT VALUE VS. FUNCTION OF A POSITIVE ACUTE ANGLE
1. Express
angle.

as a function of a positive acute
2. Find the exact value of
.
What do you notice about the questions asked above? What are the similarities and differences in
the directions and the way you would answer them?