Rewrite the expression as an algebraic function of x and y. sin(cos-1(x) – tan-1(y))

Q: sin? x 1- 1-cos x =-COS X

A: Here we have to use the basic trigonometric identity sin2θ+cos2θ =1 and we know that  a2-b2=…

Q: f(x) = -3 cos (+)-2

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Q: xpress tiIE SS the f (x) = 3 sin? x + cos? x of oog m

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Q: n of the coefficient/s when we evaluate (sec(x) - tan(x))²dx

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Q: f(x) = 2a? cos(a) f' (x) = |

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Q: Rewrite sin (x + in terms of sin x and cos x. Enclose arguments of functions in parentheses. For…

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Q: Simplify

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Q: a) f(8) = -3 cos (e + ) + 2

A: The general form of a cosine function is y=acosbθ+c+d, where a, b, c, d are constants and a is the…

Q: Evaluate. Write your answers in exact form. a) S*(secx tan x - x) dx b) sin x -dx 3+cos x

A: We have to evaluate the following integrals: a)  ∫0π4sec x tan x-xdxb)  ∫sin x3+cos xdx We know the…

Q: Write the expression as an algebraic expressionin x for x>0.   b.  tan (2 cos-1(3/x))

A: Given expression can be represents as: tan2cos-13x  for x>0. Let us suppose θ=cos-13x  then the…

Q: sin? x cos x dx 3 x COS

A:

Q: Implitude for the function y = 6 cos(x)

A: The function is given as y=6cosx

Q: Rewrite 3 sin(x) +1 cos(x) as A sin(x + o) A = Note: o should be in the interval -T < ¢ < T II

A: 1. Write equation in form of Asin(x+ϕ).2. Compare with the above equation to find the value of A and…

Q: sin x+3 cosr dx. Determine the following rational function 1+cosx

A: We have to first do partial fraction of the given expression.

Q: find dy&gt;dx.

A: Given: y=4cos x+1tan x  ……1

Q: sec x cos(-x)-sin? x

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Q: Find ƒ”(x)  for function. Then find ƒ”(0)  and ƒ”(2) . ƒ(x) = cos(x3)

A: given fx=cosx3

Q: (i) f (x) = Cos2x Sin?x

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: sin x 16. f(x) = 1- cos x

A: We have to differentiate the given function in question 16.

Q: Find f’(x) if f(x)=ln (tan^-1 (3e^x). Pls simplify the answer.

A: Given f(x)=ln (tan^-1 (3e^x).  Now we will find f'(X) as shown below

Q: uation of the line that represents the terminal side of standard position angle 0 is -5x - 3y = 0.…

A: Explanation and solutions is given below.....

Q: I = cos? x sin x In(cos x)

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Q: cos(x) lim 2

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Q: a . Show that y = sin x, y = cos x, and y = a cos x + b sin x (a and b constants) all satisfy the…

A: a. Given

Q: sec'x-1 X1-X Sin?x 2 X sec

A: To prove thatsec2x-1sec2x=sin2x

Q: A) f(x) = sin- 8

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

Q: Find

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Q: cos + tan-'x = ! ele %3D

A: Given  The equation is cos-1x2+tan-1x=π2

Q: linearize the following equation to get the function f(×)=x 3 sin x + 4 cos x = e^x - 3

A: Given function is f(x)=x3sinx+4cosx=ex-3⇒f(x)=x3sinx+4cosx-ex+3=0 Let we have to linearize given…

Q: 3. The function y =cos 2x has an amplitude that is twice that of the function y = cos x.

A: for any function

Q: Rewrite sin (x + A) in terms of sin æ and cos x. Enclose arguments of functions in parentheses. For…

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Q: -1 If f (x) = sin(x), then what is the value of f' () in simplest form? %3D

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Q: tan(хy) = ? lim %3D 2. (х,у) ->(0,1) х*у+x (a) 0 (b) (c) (d) (е) 1 -12

A: We have to find the value of the given limit: limx,y→0,1tan xyx2y+x The given limit is 00…

Q: sin r da cos3 x

A: The integral can be solved using substitution method. Since the integration is indefinite; a…

Q: COS X 2- COS X

A: Given integration is: ∫cosx2-cosxdx To find the value of integration.

Q: 3. tan-'(x +) 2 4

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Q: cos(x – y) + cos(x + y) 1. Simplify cos x

A: Answer

Q: tan X dx = - I+ tan?x ! cor 2x tc 4

A:

Q: Find the domain of the function y = tan(x/2)

A: As we know that the domain of the function y=tan(x) is all real numbers except the values where…

Q: V. Rewrite the expression as an algebraic expression of x. a) sin(cos-1 r) b) sin(tan-' x)

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Q: • tan°(x) Xp- cos“(x) 1 1 tan9

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Q: Diffcrentiate the function sin x 2 tan x

A: Please refer the attached image for complete solution.

Q: 3) f(x) = cos (tan³(sin (x³))) %3D

A: Given, f(x)=cos5tan3sin2x5 now we apply chain rule to derivate ddxf(x)=ddxcos5tan3sin2x5

Q: Rationalize the denominator. √Cos x / sin x I need all work.

A: Multiply the numerator and denominator by √sin x. Please see the white board.

Q: Solve y' + cos(x) y = cos(x).

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Q: sin? (r² – 4) lim 1-2 (r + 2) tan(x² + x – 2)

A: To evaluate the given limit.

Q: Write the expression as an algebraic expressionin x for x>0. a.  sec [sin-1 (x/sqroot(x2+9))]

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

Q: Simplify the expression to a trig function of x. cos (z -) = 0 T CoS x 2 %3D

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Q: sin?(x) + 5 cos(x) + 13

A: Given: Sin2x +5cosx+13