Find Sinczx), COSCZX), and tan(zx) from the information Cos Cx) = 07(めつら) %3D(x2)U:S %3D(x2)Unt

Q: If y = tan-1 xy and (x = 2, y = 3) y will be equal to?

A: See the attachment

Q: Differentiate (a) y − sin(x2) and (b) y − sin2x.

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Q: Find if sin x + 1 = cos y dx2

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Q: Integrate using u substitution and table    cos2x/(5sin2x-sin^2(2X)^1/2

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Q: Find f'co) if fco)= (Since\ %3D

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Q: Find if, y - x = sin(xy)

A: In this question we will use differentiation property for solving this question and after that we…

Q: If y = tan¬1 xy and (x = 2, y = 3) y will be equal to?

A: If y=tan-1xy  and x=2, y=3 We need to find the y'. Formula for  y' is, y'=11+xy2×x=x1+xy2

Q: Give an example of a value of z such that the equation sin(x ) = z is unsolvable.

A: We have to give an example of a value of z such that the equation sinx=z is unsolvable.

Q: Express sin(x +y+z) in terms of cosine and sines of x, y, z.

A: Associative Law: A+B+C=A+B+C=A+B+C Distributive Law: AB+C=AB+AC Left distributive lawA+BC=AC+BC…

Q: り plot s XE[-2T,27] Sin3X „Cas2X,

A: a.  Given function is, f(x)=e-x2 We find that f(0)=1 and when x→±∞, f(x)→0 So, the graph will be,

Q: Find the y sec! (+) %3D

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Q: tan x dx=... +C sec x Select one: 3(sec5/3x) 3 3 I sec x O none of the mentioned 2(sec1.5x) +2y sec…

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Q: 21. y = sech(√√x)

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Q: Evaluate tan³ t sec² t dt

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Q: the domain of y=Sin3X is

A: The graph of the function y = sin 3x is as shown below:

Q: Differentiate y=(1-cosx)/sin2x

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Q: In sec2(sin2y)dy dy can be evaluated by writing it as sec2y

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Q: Show that cosh iθ = cos θ,

A: We know that  coshx=ex+e-x2 and by Euler's theorem, eix=cosx+isinxe-ix=cos-x+isin-x=cosx-isinx We…

Q: express sin(x+y+z) in terms of cosine and sines of x, y and z

A: Answer and explanation is given below..

Q: Find the areg between Ye CosX an d y--SinX trom o tr .

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Q: Calculate fsin³ a cos° a dx.

A: Let cosx = t Differentiate on both side   - sinx. dx = dt    sinx. dx =  - dt

Q: prove that  d/ dx ( sec x) =sec x tan x

A: We have to prove ddxsecx=secx tanx We know that secx=1cosx So, we have to differentiate ddx1cosx…

Q: Prove the identity. cosx sin (x+y) – sinx cos (x+y)= siny

A: In question We have given two identities and we'll prove it, (i). Cos(π + x) = - Cosx  (ii). Cosx…

Q: Differentiate: y = 8 cos (16x*)

A: Here we  must know about the chain rule ddx(cos(x))= -sin(x) ddxxn= nxn-1

Q: Determine the sum of the coefficient/s when we evaluate (sec(x) – tan(x))²dx.

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Q: .3 Use Trigonometric Substitution to evaluate: dx 2 |1+4x²

A: This question is based on indefinite integral.

Q: Find dy y= cof ( + tan)

A: Given : y = cot-12x+tan-1x2

Q: Evaluate 5x² cos 2x dx.

A: Given query is to find value of the integral.

Q: Y= 5-e- COSX by %3D

A: Given: y=5-e6y=cosx( This question is don't have to specify word  find  and how to find the answer)

Q: y= sin2x,

A: Given equation is: y=sin2x Differentiating with respect to x we get, dydx=ddxsin2x⇒dydx=2cos2x

Q: dx is equal to 1+cos x O - cotx + cscx +c O - tanx + cscx + c O - cotx + secx + c O cotx + cscx + c

A: We have to find the integration and also find the limit in the second question.

Q: Find y' of sin(x+y)=x+y

A: Given,              sin(x+y)=x+y

Q: If y = tan-1 xy and (x = 2, y = 3) %3D %3D y will be equal to?

A: Given: y=tan-1xy To find y' at x=2 and y=3. Solution: Chain rule of differentiation states that:…

Q: Compute / tan x · sec a dæ.

A: detailed solution is given below

Q: l6X-tan 3X, (- find openint & concav f(x)= 6-(seč 3x)3 3 sec?

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Q: Show that: cos hz = cos hx cos y + i sin hx sin y.

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Q: Use Trigonometric substitution to compute:

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Q: Use 2- step substitution St* sin (t5) cos(t5)dt

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Q: 3. Use trigonometric substitution to evaluate Sx V9 – x² dx

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Q: 8. fx,y) = sinx cos y

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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: Calculate tan x ( sec“ x ) dx using u-substitution with: (i) u = tan x (ii) u = sec x

A: I have stated the used formulas in the solution.

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: Differentiate  cos(t^2 - 6)

A: Given: cost2-6

Q: 1 Cosx %3D secx+1 COSx+1

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Evaluate ∫ex cos3(ex) dx using tables after performing the substitution u = ex.

A: We have to evaluate the integral by substitution method: ∫ex cos3ex dx Substituting, u=ex…