Math104 Precalculus Trigonometric
Functions & The
I. The
Note: In
the unit circle, the radian measure of the central angle is equal to the length
of the
intercepted arc.
II. The Trigonometric
Functions
|
Trig Function |
Abbreviation |
Definition in |
Equivalent Forms |
|
sine |
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cosine |
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tangent |
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cotangent |
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secant |
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cosecant |
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Math104 Precalculus Notes
T4.2 page
2
ex#1 Find the values of all the trigonometric
functions given the point 
on the unit circle.
ex#2 Find the values of all the trigonometric
functions given the central angle t = 
on the unit circle.
ex#3 Find all remaining trigonometric functions
given sin t = 
and cos t = 
.
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III. The Domain
and Range of Sine & Cosine
|
|
Sine & Cosine |
|
Domain |
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|
Range |
|
Math104 Precalculus Notes
T4.2 page
3
IV. The Pythagorean Identities
* Divide
both sides of the equation by 
:
*Divide
both sides of the equation by 
:
ex#5 If
and 
, using the Pythagorean Identities, find cos t.