Maths PURE
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Last updated 4:23 PM on 5/29/26
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15 Terms
1
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Pythagorean identities [3]
sin²x + cos²x = 1
1 + cot² = cosec²x
tan²x + 1 = sec²x
2
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tan2x
= 2tanx / (1 + tan²x)
3
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small angle approx.
sinx
= x
4
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sin2x
= 2sinxcosx
5
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small angle approx.
cosx
= 1 - ½ (x²)
6
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small angle approx.
tanx
= x
7
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cos2x
= cos²x - sin²x
= 2cos²x - 1
= 1 - 2sin²x
8
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Area of a sector where angle is in radians
9
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Arc length of a sector where angle is in radians
10
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Derivative of some constant a to the power of x (where a>0).
11
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Derivative of tanx
12
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Derivative of secx
13
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Derivative of cotx
14
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Derivative of cosecx
15
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What condition must be true in order for a geometric series to sum to infinity?
The common ratio must be greater than -1, less than 1.