Precalc ID's

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Last updated 3:07 PM on 3/23/26
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9 Terms

1
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Quotient ID’s

tanx=sinx/cosx

cotx=cosx/sinx

2
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Pythagorean ID

cos²x+sin²x=1

3
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Sum ID →cos(a+b)

cosa x cosb - sina x sinb

4
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Difference ID → cos(a-b)

cosa x cosb + sina x sinb

5
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Sum ID → sin(a+b)

sina x cosb + sinb x cosa

6
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Difference ID → sin(a-b)

sina x cosb - sinb x cosa

7
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Double Angle ID → sin(2a)

2sinacosa

8
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Double Angle ID → cos(2a)

cos²a - sin²a

1-2sin²a

2cos²a-1

9
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Reciprocal Pythagorean ID

csc² x- cot²x=1

sec²x-tan²x=1

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