Trigonometric Derivatives

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Last updated 5:29 AM on 9/21/26
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12 Terms

1
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What is the derivative of sin(x)?

cos(x)

2
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What is the derivative of cos(x)?

−sin(x)

3
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What is the derivative of tan(x)?

sec²(x)

4
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What is the derivative of cot(x)?

−csc²(x)

5
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What is the derivative of sec(x)?

sec(x) · tan(x)

6
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What is the derivative of csc(x)?

−csc(x) · cot(x)

7
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What is the derivative of arcsin(x)?

1/√(1 − x²)

8
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What is the derivative of arccos(x)?

−1/√(1 − x²)

9
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What is the derivative of arctan(x)?

1/(1 + x²)

10
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What is the derivative of arccot(x)?

−1/(1 + x²)

11
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What is the derivative of arcsec(x)?

1/(|x| · √(x² − 1))

12
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What is the derivative of arccsc(x)?

−1/(|x| · √(x² − 1))