Derivatives of trig functions worksheet

• What are the derivatives of the six trig functions?

  The six trigonometric functions have differentiation formulas that can be used in various application problems of the derivative. The six basic trigonometric functionsinclude the following: sine (sin x), cosine (cos x), tangent (tan x), cotangent (cot x), secant (sec x) and cosecant (cosec x).

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• How do you find the derivatives of trig functions?

  We can get the derivatives of the other four trig functions by applying the quotient rule to sine and cosine. For instance, d d x ( tan ( x)) = ( sin ( x) cos ( x)) ′ = cos ( x) ( sin ( x)) ′ − sin ( x) ( cos ( x)) ′ cos 2 ( x) = cos 2 ( x) + sin 2 ( x) cos 2 ( x) = 1 cos 2 ( x) = sec 2 ( x).

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• What are the derivatives of trigonometric functions?

  The derivatives of trigonometric functions are the following: The derivative of the sine function is the cosine function. The derivative of the cosine function is the negative sine function. The derivatives of the rest of the trigonometric functions can be found using the quotient rule and trigonometric identities.

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• What are the derivatives of inverse trig functions?

  The inverse trig derivatives are the derivatives of the inverse trigonometric functions arcsin (or sin -1 ), arccos (or cos -1 ), arctan (or tan -1 ), etc. We use implicit differentiation to find the derivatives of the inverse trig function which we we explore in detail in the upcoming section.

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• [PDF File]Worksheets for MA 113 - University of Kentucky

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  Worksheet # 9: Derivatives Worksheet # 10: The Derivative as a Function, Product, and Quotient Rules Worksheet # 11: Rates of Change Worksheet # 12: Higher Derivatives and Trigonometric Functions Worksheet # 13: Chain Rule Worksheet # 14: Implicit Di erentiation and Inverse Functions Worksheet # 15: Related Rates Worksheet # 16: Review for Exam II

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• [PDF File]Derivatives of Trigonometric Functions Find the derivatives ...

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  Find the derivatives of trigonometric functions: =4sin +5cos =sin cos =2sec +tan =

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• [PDF File]Differentiation - Trigonometric Functions Date Period

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  ©g p230 Y183g UK8uSt Va1 qSHo9fotSwyadrZeO GL2LICZ. G 3 3A Clul O 2rli Hgih it ls 5 4r de4s YeVrTvmeodM.L d ZMLaedme4 LwBibtqh 4 HIhnXfNiPn1iNtuek nC uaSlVcunl eu isQ.P Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Name_____ Differentiation - Trigonometric Functions Date_____ Period____

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• [PDF File]CHAPTER 21 Derivatives of Trig Functions

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  In this chapter we will expand this list by adding six new rules for the derivatives of the six trigonometric functions: Dxhsin(x)i Dxhtan(x)i Dxhsec(x)i Dxhcos(x)i Dxhcsc(x)i Dxhcot(x)i This will require a few ingredients. First, we will need the addition formulas for sine and cosine (Equations 3.12 and 3.13 on page 46):

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• [PDF File]Mathematics Learning Centre - The University of Sydney

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  There are only two basic rules for differentiating trigonometric functions: sin x dx = cos x cos x dx = sin x. For differentiating all trigonometric functions these are the only two things that we need to remember. Of course all the rules that we have already learnt still work with the trigonometric functions.

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• [PDF File]CALCULUS TRIGONOMETRIC DERIVATIVES AND INTEGRALS

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  TRIGONOMETRIC DERIVATIVES AND INTEGRALS: R STRATEGY FOR EVALUATING sin: m (x) cos: n (x)dx (a) If the 2power n of cosine is odd (n =2k + 1), save one cosine factor and use cos (x)=1 sin: 2 (x)to express the rest of the factors in terms of sine: Z Z Z sin: m (x) cos: n (x)dx = sin: m (x) cos: 2k+1 (x)dx = sin: m (x)(cos: 2 (x)) k: cos(x)dx Z ...

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