Evaluate the following expression. tan(sin^-1(x))

Q: S sin2000 x sin 2022x dx

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Q: Use a calculator to compute sinhx and coshx for x = -3, 0, 5.

A: We use a calculator to find the values.

Q: Complete the identity. sin'x (cscx+ se2x) = sec2x X. CS sec-x

A: To show: sin2x(csc2x+sec2x)=sec2x Solution: Considering LHS sin2x(csc2x+sec2x) On simplifying…

Q: (1) / in | (sin-x)° dr

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Q: Reduce sin 0 to an expression involving only function of multiples of 0, raised to the first power.

A: Given, sin4θ  We have to reduce sin4θ to an expression involving only function of multiples of θ,…

Q: Why is it not possible to evaluate ; by direct substitution

A: On direct substitution we get limx→0 sin xx=sin 00=00

Q: Differentiate 3 sin (x)

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Q: Solve the derivative: sinx – 1 F(x) = COSX Answer: sec(x)tan(x)(sin(x) – 1) -

A: We will find the derivative.

Q: 57. Use Eq. (5) to find sin x dx.

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Q: Find the exact value of sec(-315°)

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Q: Evaluate ∫tan4 x sec4 x dx.

A: Using the Pythagorean identity we get:

Q: Evaluate without using a calculator. sin−1(−1)

A: We have to evaluate: sin-1-1

Q: What is the 1200th derivative of sin x.

A:

Q: Find the 27th derivative of cos x

A: 27th derivative of cos x.

Q: Find 7 sin² (7x) dx

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Q: If f(x) = 4x sin-), find f'() = f' (0.4) -

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Q: Graph the equation for values of x between 0 and 720 In multiples of 30. y =5 sin(x)

A: Period of y=5sin(x) is 360 degree So between 0 to 720 degree, there are 720/360= 2 periods So we…

Q: Find an equivalent expression for sin 4x in terms of function values x sin 4x =

A: power series of f(x) about x =a is  f(x) = ∑h=0∞ fn(a)n! (x-a)n ------- (*)

Q: Find the second derivative of f(x) = 9 sin (2x). Enclose arguments of functions in parentheses. For…

A: On solving this we will get

Q: simplify sin2x +cos 2x for x =30

A:

Q: Find the 27th derivative of cos x.

A:

Q: 6. sin(tan¬1 x)

A: Use inverse trigonometric method

Q: compute the higher derivative

A: Find first derivative using chain rule

Q: If x=2 tan θ ,express sin(2θ)as a function of x.

A:

Q: The derivative of tan(9*x) is (sec(9*x))2(9))   Can you tell me where the sec2 came from?

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Q: cos² (x) sin (x) dx

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Q: If x= ln (sec θ +tan θ) , show that sec θ = cosh x .

A: It is given that  x= ln (sec θ +tan θ)

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: Consider the given equation. logtanθ=logsinθ-logcosθ Take all the value right side of the equation.…

Q: Determine the first derivative of the ff. function y = arcsin sin (4x²)

A: Given that y=arcsin sin4x2 To find the first derivative: ddxarcsin sin4x2=11-sin24x2·ddxsin4x2…

Q: If x = 4 tan θ, express sin θ in terms of x.

A: Given that: x=4tanθ To solve the given trigonometric function,…

Q: Differentiate f(x) = sin-(2x). Use exact values. f'(x) =

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Q: Evaluate | sin2x tan (sinx)dx

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Q: Use cos(sin^(-1)x)=Sqrt(1-x^2) to determine the derivative (sin^(-1)x)'

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Q: 8. (tan(cos(x)

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Q: If f(x) =>(1- (sinx)²)" .Determine the value of f)

A: use the trigonometric identities to simplify and the solve. detailed explanation is in step 2 answer…

Q: Differentiate sin3 x

A:

Q: Evaluate sin2xlogtanx dx

A: Given:  Let I=∫0π2 sin2xlogtan x dx To Find: To evaluate the given integral.

Q: Iff = 0.8, simplify the expression tan (tan-(f).

A:

Q: Simplify 3 TT sin-(sinx) if TSXS 2 - -x- T ーX π-X x- π

A: Given, To solve  sin-1(sinx)  if π≤x≤3π2

Q: Evaluate tan° (x) sec* (x)dx in the two different ways indicated.

A:

Q: tan X sinx, + cosxy %3D Q3: Solve

A: The given differential equation is Convert the equation in first linear ordinary differential…

Q: 10. (4x+5)sin 3x

A: We will find the solution to the given problem.  We will differentiate the problem with respect to…

Q: Differentiate f(x) = sin'(7x). Use exact values. f'(x) =

A: Explanation of the solution is given below...

Q: Find f"(x), where f(x) = tan-(sin x2019)

A:

Q: tan(t) sec(t) – cos(t) Simplify to a single trig function. |

A: Please see the answer below

Q: Evaluate tan (8x) sec*(8x) dx.

A:

Q: tan(sin'x) is ... The simplify of

A: Given expression is Let us suppose Now, Therefore,

Q: f (x) = sin(2ax + x)

A:

Q: Se*sinhxdx

A: Some important formulas: Sinhx=ex-e-x2Coshx=ex+e-x2 ∫e-axdx=e-ax-a Given integral is: ∫exsinhx dx…

Q: What is the derivative of tan 2x/1-cot2x? Write the answer in simplified form.

A: Given,          y=tan2x1-cot2x