Trig Idenites

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Last updated 11:36 PM on 12/3/24
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8 Terms

1
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What is the reciprocal identity for sin(x)?

sin(x) = 1/csc(x)

2
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What is the Pythagorean identity for sin(x) and cos(x)?

sin^2(x) + cos^2(x) = 1

3
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What is the double-angle formula for sin(2x)?

sin(2x) = 2sin(x)cos(x)

4
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What is the double-angle formula for cos(2x)?

cos(2x) = cos^2(x) - sin^2(x)

5
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What is the half-angle formula for sin^2(x)?

sin^2(x) = (1 - cos(2x))/2

6
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What is the derivative of arcsin(x)?

d/dx[arcsin(x)] = 1/sqrt(1-x^2)

7
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What is the Pythagorean identity involving tan(x)?

1 + tan^2(x) = sec^2(x)

8
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What is the double-angle formula for tan(2x)?

tan(2x) = 2tan(x)/(1 - tan^2(x))