If y = cose z then value of y' will be Select one: Az sine A O e-z, sine-Az O d.e dz¸ sine d O -A. e Ar¸ sine A

Q: Evaluate lo' et cos dx

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Q: tan'y - ycosx = sin? x + find y',y" If

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Q: Suppose y = sina, which is TRUE about y? 1 Oy= sin O none of the above y 0 *= arcsing O * = sin y

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Q: cos y = e

A: Need to find differentiation for given function

Q: If sin v = with < v < T and cos w = * with 0 < w < , find sin (v + w)

A: Given that π2&lt;v&lt;π. So, v is in the 2nd quadrant.In 2nd quadrant sinv is positive but cosv is…

Q: Show that if z = x+ iy, then: | cosh-z|2 sinh x Hint: use the equation: | coshzf = sinhx+ cos"y

A: We have , z = x + iy We know that ,  coshz = ez + e-z2 Therefore , cosh (-z) = e-z + e-(-z)2 = ez +…

Q: Differentiate. y = sec(e) tan(e) sin (8) y = cos(e)? 2

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Q: Evaluate Sz cos“ x sin? x dx

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Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: The ant derivative of f(x) is, Now evaluate the anti derivative of

Q: Se2x sine*dx a. Inn

A: According to our terms and condition i have solved first question for next question repost

Q: 6. Find Sin 5x (b) y = THcos 5x dx

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Q: If y = cos x + sin 2x, find the value of y” - y’ +3y

A: We will differentiate the given function.

Q: If rcos(x)sin(y)=a, rcos(x)cos(y)=b and rsin(x)=c, find r.

A: Formula used is written in the bracket of the first photo.

Q: Half the distance between the maximum and minimum y-values of a sine or cosine wave is known as its…

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Q: sin' (2t) cos? (2t) dt

A: Use the substitution and replace the terms by new variable and solve easily.

Q: ·S= cost cose de . 1-sino sece tane de sec-1 The integral sine de 1+ cose sec²0 de 1+tano x dx can…

A: Let's transform integral by using trigonometric substitution.

Q: sin x Find dy/dx given that y 1+ cos x

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Q: fr. sin ax cos 3x dx

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Q: Evaluate the inclepinite infegral Cos 3X +3 dx Sin 3x

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Q: 1. S sina de cos²x

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Q: Find sin(u/2) if sinu=−0.319 and u is in Quadrant-IV. sin(u/2)=

A: We know that sin2u+cos2u=1 i.e. cosu=1-sin2u Since, u is in quadrant-IV means cosu will be positive.…

Q: Find if y = sin /- cos r and r= 1+ cos-x %3D dx

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Q: Q/ ind dy if 24-sini' (xe!)=sin'(x*)+ cos (x")

A: Given that      2y - sin-1(x2+1) = sin2(x4) + cos2(x4) Here we have to find dy/dx.

Q: True or false?

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Q: (i) | sin' xcos xdx .

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Assume that a particle’s position on the x-axis is given byx = 3 cos t + 4 sin t,where x is measured…

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Q: 18) iox dx Sin

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Q: en(cos (Tix)e) + हाक %3D COS

A: Given that y=ππx ln(cos(πx)e)+sin3π5,   we have to find implicit derivative of y.

Q: Find y': y = cot 0 sin 0 O sin² 0 1-tan²0 O1+sin² 0 cos³0 O-1-cos² e sin³0 3

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Q: cos[arccos(−0.1)]

A: Consider the given expression as coscos-1-0.1

Q: -S * sin ´sin sin (e*) dx

A: we have to integrate

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: Given: I=∫cosθtanθ+secθdθ for evaluating given integral, we multiply cosθ inside bracket then…

Q: Find y' if y=Cos (sinx)

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Q: B. If cos-' (cos- '(cos) = y .Find value of y?

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Q: Sy sin-'y dy

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Q: 6. Se¯*tane¯*sec?e¬*dx

A: To evaluate: I=∫e-xtan(e-x) sec2(e-x) dx=∫tan(e-x) sec2(e-x) (e-x)dx...(1)

Q: sin Tt cos Tt dt

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Q: 27 sin x cot xcosx dx = ? ^.cosx

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Q: The appropriate trigonometric substitution for dx is V3x-x2 ww 3 X = 9 3 + sec 0 2 4 3 +sine x = O…

A: We have to solve

Q: e cos(x) = 1 + sin(xy) 2 2

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Q: Cos de 1-Sin e

A: To evaluate: I=∫cos3θ1-sin θdθ=∫cos2θ×cos θ1-sin θdθ=∫(1-sin2θ)cos θ1-sin θdθ=∫(1-sin θ)(1+sin θ)cos…

Q: cos ydy Sin y+ 5 sin 3 sin y+6

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Eoaluate dx, Hence find the value of sin dx.

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Q: To approximate the value of sin44° , we will use y=sinx. What must be the yalue of dy ?

A: the aproximate value of sin44 = 0.6946 for approximation  let  y= sinx dy = cosx(dx)             x=…

Q: By using Cauc hy laws find= Cos X.dx IT (x?+)) Sinx cos A) dx COS X e)

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Q: What is y = sin (xy)

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Q: Sirzy-L652X こつinてy Cos? x CoSz seczK-

A: As per guideline we have to solve the 1st one. For another solution request again

Q: Given: cos(cos2x) sin2x dx Find: du O 2sin2x dx -2sin2x dx O -2cos2x dx 2cos2x dx

A: Given that ∫cos cos 2x sin 2x dx  -(i)Our Aim is to find the value of du=?

Q: An object moves such that its velocity in meters per second is given by v(t) = cos t. What is its…

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.