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A2M2L7­SB Secant and Co­Functions.notebook
December 10, 2015
Secant and Co­Functions
Do Now: standard: F.TF.2
State the quadrants where a) sin >0 b) sin < 0
c) cos >0 d) cos < 0
d) tan > 0 e) tan < 0
Determine the exact value of the following:
cos tan Determine the exact value of the following:
cos tan A2M2L7­SB Secant and Co­Functions.notebook
Express the length of each segment in terms of the value of a trig. function.
OQ=
PQ=
RS=
December 10, 2015
A2M2L7­SB Secant and Co­Functions.notebook
December 10, 2015
Recall that a secant is a line that intersects a circle at two points.
OR = sec Use proportions in similar triangles to find the value of in terms of one other trig. function.
What is the domain of the secant function?
A2M2L7­SB Secant and Co­Functions.notebook
December 10, 2015
Definitions of 2 more functions:
cosecant:
cotangent:
What is the domain of the csc function?
What is the domain of the cot function?
A2M2L7­SB Secant and Co­Functions.notebook
Determine the values of each of the following:
If and are complimentary then sin = cos and cos = sin Sine and cosine are
called cofunctions. December 10, 2015
A2M2L7­SB Secant and Co­Functions.notebook
Pairs of co­functions:
sine and cosine
secant and cosecant
tangent and cotangent
Determine the value of December 10, 2015
A2M2L7­SB Secant and Co­Functions.notebook
December 10, 2015
Summarization of Trigonometric Functions
Let be any real number. In the Cartesian plane, rotate the initial ray by degrees about the origin. Intersect the resulting terminal ray with the unit circle to get a point Function Value
Domain
Formula
Sine
Cosine
Tangent
Secant
Cosecant
Cotangent
Homework: Worksheet
Quiz tomorrow A2M2L7­SB Secant and Co­Functions.notebook
December 10, 2015