Write the given expression in the form of Asin(x+C), utilizing the reduction formula: SINX-V ½ COSX A) 2 SIN(x + 1) B) SIN(X + 5T) C) 3 SIN(X + 2TT)

Q: Prove that eax (a cos bx +b sin bx) + C. ax cos bxdx %3D a2 + b2

A: ∫eaxcosbxdx=eaxacosbx+bsinbxa2+b2+C

Q: fsin²7x dx Select one: O a. O b. O c. O d. O e. 7x - sin²7x cos 7x 14 7x sin7x cos 7x 7 7x + sin7x…

A: Formula used

Q: Suppose S (x) =sin(3x – 2). Evaluate: /f(x) dr A - 3cos(3x – 2) + C (A) (B ® --cos(3r – 2) + C ©…

A: Given, f(x) = sin3x-2To evaluate:∫f(x) dx This can be done as follows:

Q: Evaluate sin (3x) cos (6x) dx Select one: cos(9r) A cos(3r) tC 18

A:

Q: Find an alternative form in terms of x for each of cos(sin- 1 x) and tan(sin- 1 x).

A: Let us make a triangle with opposite = x and hypotenuse=1 , because sin theta= opposite/hypotenuse…

Q: Evaluate: /x?cos(2x)dx 2x2sin(2x) + 2xcos(2x) – sin(2 x) А + C 4 2x2sin(2x) – 2xcos(2x) – sin(2x) +C…

A:

Q: Rewrite – 4 sin(x) – 5 cos(x) as A sin(x + ø) A = $ =

A: Given the trigonometry function

Q: 1-T= 3- Z= +cos(y)tan ( √x-b cos (n) 2-sin²(n) 2-B=sin(x) sec(x)/cscf(x) 4-(w+n)²(a+) x-3

A:

Q: Evaluate the following expressions in MATLAB, where t = 8 s, i = √-1, and w = 1607 rad/s. (Enter…

A:

Q: Which of the choices is equivalent to sin(x) cos(x) cot(x) csc(x)? O csc(x) – sin(x) O cot(x) –…

A: The given term is:sinxcosxcotxcscx

Q: Write the product as a sum: 20 sin(17v)sin(15v) =

A: Write the formula of 2sinAsinB=cos(A-B)-cos(A+B). And solution is given below in the image.