d/dx tan−1(27x)∣∣x=1

Q: Solve sin(x) +7 sin(x) cos(2x) = 0 for x E (0, 5). Give your answer in radians correct to 3 decimal…

A: The given equation is sin(x)+7sin(x) cos(2x)=0 and the range for x is (0, π/2).

Q: Express sin S as a fraction in simplest terms.

A: Topic:- trigonometry and geometry

Q: sin(cos¬1/2x²) = v3x? sO:

A: Given:   SinCos-1 2x2=3x2   To find out: x=?

Q: cos 4x 2 dx sin4x 5.

A:

Q: two friends are trying to figure out how many supernova explosions there will be by looking at the…

A: The given function is fx=sin2x-cos2x-1 Convert sin and cos into the single function of sin…

Q: Evaluate: [ cos 2x log(1+ tan x) dx

A:

Q: How is the addition formula used in deriving the formula (sin x) , = cos x?

A:

Q: If cos x is replaced by 1-²/2 and [x] < 0.5, what estimate can be made of the error? Does 1-²/2 tend…

A: The Maclaurin series of cos x can be defined as: cos x=1-x22+x424-x6720+…. The inequality: y&lt;k is…

Q: d. Find (sin(cos x)). dx

A:

Q: How can the graph of y = sin-1 x be obtained from the graph of the restricted sine function?

A: given: y=sin-1x

Q: Find ∫e^(2x)sin(2x)dx

A: Given: ∫e2xsin(2x)dx

Q: A calculator has a built-in sinh-1 x function, but no csch-1 x function. How do you evaluate csch-1…

A: Evaluate: csch-15

Q: Sin(6x+16)=Cos(3x) Round answers to the nearest hundredth (2 decimal places). What does X = ?

A: We can find the value of x as below.

Q: Since the functions y cos(x) and y -1 = cos are inverse functions, explain why COS (cos(-)) is not…

A: use the range of arc cosx to find the values

Q: how can you express cos x in terms of tan x?

A:

Q: sinh 3x –1 H(x)=: 1+cosh 3x –1

A: Given: H(x)=sinh3x-11+cosh3x-1 To solve: The given function.

Q: If tanh(x)=5/13, what is the sinh(x)?

A: Answer is sinhx=5/12. Explanation is given below..

Q: Differentiate sin(3x+5) with respect to x

A:

Q: cos? (x) 5 x²e* 6 V1 – x³ 4 - ex 7 sinh(x) 8 x² arctan(x) 9 1- X

A:

Q: Q If find x tan cy2 of +2x the Value dx?

A: Given function is                                                  x2y+3y4=xtany+2x differentiating…

Q: 6. When defining the inverse sine function, the domain of y = sin x is restricted to -÷<xs. a. Why…

A:

Q: d Find of tollowing functions. faa)= sin" (3%) "(3*) + loga (3²+2X-4)

A: Given: f(x)=sin-13x+log232+2x-4 we have to find the derivative of the given function. Use The Chain…

Q: Evaluate 3z sin(x)dx

A: ∫e3xsinx dx Now let, I=∫e3xsinx dx Now integrating by parts, we get I=∫e3xsinx dx⇒I=e3x∫sinx…

Q: What is the phase shift and vertical shift of f(x

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

Q: Find Dg sin° (7x). 3

A:

Q: How would you evaluate∫tan10 x sec2 x dx?

A: given ∫tan10 x sec2 x dx

Q: Evaluate integral sin^4(x) dx

A:

Q: 2. Find a reduction formula for sin" x dx. By using this formula evaluate sin® x dx.

A: The objective of the question is determine the integral.

Q: / (cos(x) + Ex dx 4 +

A:

Q: 19. Differentiate f(x)= sin(ln x)

A:

Q: 71. cos³ 2x sin 2x dx

A:

Q: esecx+lntanx -dp- 9. cos x

A:

Q: Suppose y=sin x, what is x-value between 2pi and 4 pi corresponding to y-value of -1

A:

Q: If cos(x) = - and sin(y) = - with tan(x) > 0 and cos(y) < 0, algebraically compute the exact value…

A:

Q: Step 2 Now, . 유 sin (플)dr cos h(1 Lx)–I %3D =L (cos h (11x) – 1)dr a cos h (11x)dx – L" Idx sin h…

A:

Q: Differentiate the inverse trig function  y=Sin-1(Cos x/1+Sin x)

A: We use the chain rule and the quotient rule to find the derivative.…

Q: Why is I cos 0 |never greater than 1 in the first place?

A:

Q: cos(2x) dx 2 (sin(2x)+5)*

A:

Q: Find cos(2x) Given that sinx= 4/5 and 0&lt;x≤ pi/2

A:

Q: onvert to sine： y=-9.5cos (πx/5)+10.7

A: convert the following into sine

Q: What strategy would you use to evaluate ∫sin3 x cos3 x dx?

A:

Q: tan(x) dx sin (x) + cos4(x)

A:

Q: Explain how to find ∫ tan15 x dx without actually integrating.

A: ∫tan15x dx=∫tan13x tan2x dx=∫tan13x sec2x-1 dx   ∵sec2x-tan2x=1=∫tan13x sec2x-tan13x dx=∫tan13x…

Q: find the implicit formula of sinxy=x+y

A: Given,

Q: Evaluate: cos x-sin(sin x)dx and explain your answer in terms of odd/even functions.

A:

Q: Solve the equation below. tan x + 2 sin x = 0 if 0 < x < 2n.

A: tan x+2 sin x=0 , 0≤x≤2π

Q: Find ∫sin 5x cos 4x dx.

A: Given, ∫sin5x.cos4xdx

Q: -5x sin(2x) dx

A: Consider the given integral