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Unit Circle function
values for angle theta. Use (x, y) with r=1
For right triangle trig,
x = opposite side y = adjacent side
r = hypotenuse
Trigonometric
Identities and Formulas
Reciprocal Identities
![csc theta = 1 over sin theta](images/trig%20i10.gif)
Quotient Identities
Pythagorean Identities
![cot squared + 1 = csc squared](images/trig%20i15.gif)
Negative angle identities
Sum and Difference Identities
Double -Angle Identities
![](images/Image502.gif)
or or ![](images/Image505.gif)
Power-Reducing formulas from Half-Angle Identities
![](images/Image508.gif)
Product to Sum
![](images/Image510.gif)
![](images/Image512.gif)
Sum to Product
![](images/Image514.gif)
![](images/Image516.gif)
In any triangle
,
with sides
,
,
and
,
Law of Sines
,
Law of Cosines
or
or
![law of cos (C)](images/trig%20i42.gif)
,
The substitution yields ,
and ![](images/Image520.gif)
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