Integrate the following functions. Show the complete solutions and simplify the answers. ∫ tan3 x dx

Q: If f(x) = 6(sin(x))", find f'(2).

A:

Q: Integrate the following functions. Show the complete solutions and simplify the answers. ∫ sin3 x…

A: The given integral is ∫ sin3 x cos x dx

Q: Find the value of x. to 143° degrees

A: Explanation of the answer is as follows

Q: Solve the following equation for x, where -n < x < n. tanx + tan x = 0 Provide your answer below:

A: The given equation is tan2x+tanx=0. Solve the above equation as follows.

Q: Integrate the following functions. Show the complete solutions and simplify the answers. ∫ sin4 x…

A: As the power of both sin x and cos x are even. Then use the trigonometric formulas to simplify it…

Q: Q6/ Using reduction formula, solve the following : | sin x dx

A:

Q: Integrate the following functions. Show the complete solutions and simplify the answers. ∫ cot4 x…

A: ∫cot4xdx=∫cot2x.cot2x dx=∫cot2x.cosec2x-1dx=∫cot2x.cosec2x dx-∫cot2x dx=∫cot2x.cosec2x dx-∫cosec2x-1…

Q: Solve the following equation for 0 where 0<0 < 360°. sin 0 = 3 4. O 60°, 120°, 240°, 300° O 49°,…

A: Here, we will solve sin2θ=34. Now,                sin2θ=34⇒sinθ=32, sinθ=-32⇒θ=π3+2πn, θ=2π3+2πn,…

Q: Solve the following equations on the interval0<x<2n: a) 12 sin 2x =1 b) csc x-csc x-2 0 %3D

A: Solve the following equation in the interval 0≤x≤2π: (a) 2sin2x=1 (b) csc2x-cscx-2=0

Q: x² cos(6 x) dx

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

Q: dx 9+49x2

A: The given integral is ∫dx9+49x2

Q: 3. 4x 3 + dx

A:

Q: M 8 V55 N

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

Q: Solve the equation for θ, where 0≤θ≤2π. tan2θ−tan θ=0

A: We have given tan2θ−tan θ=0, where 0≤θ≤2π.

Q: Solve the equation tan2 = 3 for θ, where 0 ≤ θ ≤ 2π.

A: Given equation:

Q: solve the following equation y'- (sinx)y = 2sinx

A: Given a differential equation, y'-(sinx)y=2sinx To solve the given DE.

Q: dx a sinx cosx

A: Simple integration problem.....

Q: te and simplify sinh 00 j 500 j 66j

A:

Q: B. Solve for the following. 1. tan 300° 2. csc 6 3. sin -135

A: To find:- tan(300°)  csc(7π/6)  Sin(-135°)

Q: -15n sec 4

A:

Q: Vx2 +1

A:

Q: For 0<x<2 T , solve the following equations: 1. 2 tan x=3

A: We have to solve

Q: Solve the following for X, where 0 ≤ x < 2π Answer in terms π. sin x - sin 2x = 0

A:

Q: s nip

A:

Q: Express the given quantity in terms of sin (x) and cos (x). sin + X 2

A:

Q: find the value of x  tan3x=sin 45ocos45o+ sin30o

A: given expression :

Q: Evaluate: 0 xsinx 1 + x² dx

A:

Q: y = 2 sin 3x

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: The value of sinh ja is equal to а. О b. -1 c. j d. 1

A: Answer

Q: Simplify the expression Vx2 + 1 as much as possible after substituting tan(0) for x. (Assume 0° < 0…

A: We use one of the following Pythagorean identities to solve this problem. sec2x - tan2x = 1

Q: – 3r) sinh 2r.dr))

A: We will find out the required value.

Q: Use the equation given below to find f '' (Pi/3).   f(x) = sec(x)

A:

Q: Solve the equation for x, where 0 ≤ x ≤ 37. Correct to one decimal place. 3(tan2x + 1) = 2

A:

Q: Solve the following equation on the interval [0,2x) cot(3x) 0

A: It is known that, cosx is zero when x is of the form  π/2+(2πn) or 3π/2+(2πn).

Q: Solve the following equation on the interval [0, 2?). 4 csc(?) + sin(?) + 5 = 0

A: Given- 4cscx+sinx+5=0 To find- The value of x on the interval [0,2π). Concept used- The above…

Q: Integrate the following functions. Show the complete solutions and simplify the answers. ∫ sec6 x…

A: The given integral is, I=∫sec6xdx Using trigonometric identity, sec2θ=tan2θ+1…

Q: SoLve the following di fferential equation yÿ' = Sec y Sec'x

A: Some integration formulas: ∫ cosx dx=sinx+C ∫sec2x dx=tanx+C Given differential equation is:…

Q: Solve the following equation, for values of 0 from -90 to +90 inclusive. tan20 = 1

A: Alegracially solve the given equation and find the zeroes in the given region.

Q: b) y = sec x tan x

A: Given the functiony=secxtanx

Q: Q5. L{tet sin t} =

A: Laplace transform of Le-ttsint

Q: Solve 2 sin x –-1= 0 for x, where 0 < x < 180° |

A:

Q: Solve the following equation correct to one decimal place: sin t dt = 1

A:

Q: Solve the following: y"+y=sin(2x)

A: "Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Solve the following D.f 9+ 49= cos X sinx

A:

Q: Solve the following equation giving your answers correct to three decimal places: 4 cosh x 13e * =…

A: Use the formula : cosh x=ex+e-x2 . Roots of quadratic equation ax2+bx+c=0 is x=-b±b2-4ac2a .

Q: Evaluate by trigonometrich functions x²+g? dj dX

A: Here, we need to evaluate ∫01 ∫01-x2 x2+y2dy dx. Let us convert to polar form. So, take x=r cosθ and…

Q: Solve the following equation on the interval [0, 27): tan (x) sin(x) = tan?(x).

A: Given,            tan2(x) sin(x) = tan2(x)       and interval =[0, 2π)