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Questions and Answers
What is the derivative of sin(x)?
What is the derivative of sin(x)?
cos(x)
What is the derivative of cos(x)?
What is the derivative of cos(x)?
-sin(x)
What is the derivative of tan(x)?
What is the derivative of tan(x)?
sec^2(x)
What is the derivative of csc(x)?
What is the derivative of csc(x)?
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What is the derivative of sec(x)?
What is the derivative of sec(x)?
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What is the derivative of cot(x)?
What is the derivative of cot(x)?
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What is sin^2(x) + cos^2(x)?
What is sin^2(x) + cos^2(x)?
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What is tan^2(x) + 1?
What is tan^2(x) + 1?
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What is 1 + cot^2(x)?
What is 1 + cot^2(x)?
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What is the reciprocal of csc(x)?
What is the reciprocal of csc(x)?
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What is the reciprocal of sec(x)?
What is the reciprocal of sec(x)?
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What is the reciprocal of cot(x)?
What is the reciprocal of cot(x)?
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What is the reciprocal of sin(x)?
What is the reciprocal of sin(x)?
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What is the reciprocal of cos(x)?
What is the reciprocal of cos(x)?
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What is the reciprocal of tan(x)?
What is the reciprocal of tan(x)?
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What is tan(x)?
What is tan(x)?
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What is cot(x)?
What is cot(x)?
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Study Notes
Derivatives of Trigonometric Functions
- Derivative of sin(x) is cos(x)
- Derivative of cos(x) is -sin(x)
- Derivative of tan(x) is sec²(x)
- Derivative of csc(x) is -csc(x)cot(x)
- Derivative of sec(x) is sec(x)tan(x)
- Derivative of cot(x) is -csc²(x)
Fundamental Trigonometric Identities
- sin²(x) + cos²(x) equals 1
- tan²(x) + 1 equals sec²(x)
- 1 + cot²(x) equals csc²(x)
Reciprocals of Trigonometric Functions
- Reciprocal of csc(x) is 1/sin(x)
- Reciprocal of sec(x) is 1/cos(x)
- Reciprocal of cot(x) is 1/tan(x)
- Reciprocal of sin(x) is 1/csc(x)
- Reciprocal of cos(x) is 1/sec(x)
- Reciprocal of tan(x) is 1/cot(x)
Definitions of Trigonometric Functions
- tan(x) is defined as sin(x)/cos(x)
- cot(x) is defined as cos(x)/sin(x)
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