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Derivatives of Trigonometric Functions Video Lecture | Mathematics (Maths) Class 12 - JEE

204 videos|288 docs|139 tests

FAQs on Derivatives of Trigonometric Functions Video Lecture - Mathematics (Maths) Class 12 - JEE

1. What is the derivative of sine?
Ans. The derivative of the sine function, denoted as d/dx(sin(x)), is equal to the cosine function, or cos(x). In mathematical notation, it can be expressed as: d/dx(sin(x)) = cos(x)
2. How do I find the derivative of cosine?
Ans. To find the derivative of the cosine function, denoted as d/dx(cos(x)), we need to differentiate it. The derivative of the cosine function is equal to the negative sine function, or -sin(x). In mathematical notation, it can be expressed as: d/dx(cos(x)) = -sin(x)
3. What is the derivative of tangent?
Ans. The derivative of the tangent function, denoted as d/dx(tan(x)), can be obtained by differentiating it. The derivative of the tangent function is equal to the square of the secant function, or sec^2(x). In mathematical notation, it can be expressed as: d/dx(tan(x)) = sec^2(x)
4. How do I find the derivative of cosecant?
Ans. To find the derivative of the cosecant function, denoted as d/dx(csc(x)), we can differentiate it using trigonometric identities. The derivative of the cosecant function is equal to -cosec(x) * cot(x). In mathematical notation, it can be expressed as: d/dx(csc(x)) = -csc(x) * cot(x)
5. What is the derivative of secant?
Ans. The derivative of the secant function, denoted as d/dx(sec(x)), can be found by differentiating it. The derivative of the secant function is equal to sec(x) * tan(x). In mathematical notation, it can be expressed as: d/dx(sec(x)) = sec(x) * tan(x)
204 videos|288 docs|139 tests

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