core identity families. AP precalculus unit 3
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Last updated 7:54 PM on 3/26/26
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14 Terms
1
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sec(x)
1/cos(x)
2
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csc(x)
1/sin(x)
3
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cot(x)
1/tan(x)
4
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tan(x)
sin(x)/cos(x)
5
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cot(x)
cos(x)/sin(x)
6
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Pythagorean identity
sin²(x) + cos²(x) = 1
7
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Dividing Pythagorean identity by cos²(x)
tan²(x) + 1 = sec²(x)
8
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Dividing Pythagorean identity by sin²(x)
1+cot²(x)=csc(x)
9
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Is sine even or odd?
Odd
sin(-x) = -sin(x)
10
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Is cosine even or odd?
Even
cos(-x) = cos(x)
11
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Is tangent even or odd?
Odd
tan(-x) = -tan(x)
12
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Cofunction identities
How do you turn a sine function into a cosine function?
sin(pi/2 - x) = cos(x)
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Cofunction identities
How do you turn a cosine function into a sine function?
cos(pi/2 - x) = sin(x)
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What is the relation between tangent and cotangent?
tan(pi/2 - x) = cot(x)
