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: Expand and simplify: sin(x+3)-cos(+ x) 6 COS X

A:

Q: Evaluate S₁ 45 dx 1- cos (9x)

A: To evaluate .

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: 3. ox (- w) and ¢x (@) are complex functions, i.e., x (- w) = ¢x (w)

A:

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: Evaluate e cosh 2t -3t s13 d) 4(s? - 6s-5) 3. s43 a) 4(s-6s + 5) b) 4(s? + 6s - 5) c) 4(s + 6s +5)

A:

Q: Evaluate L{2t e2t sin (3t) – e3(1-1) + 3et sin (4t – 5)}

A:

Q: (a) Evaluate by parts: |x cos4xdx

A: In this question we have to find solution by using Integration by parts.

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: 88 11% COSX + dx cakulate using complex functions?

A:

Q: Verify the identity: sin (3π/2 - x) = -cos x

A: To prove  sin (3π/2 - x) = -cos x

Q: Evaluate: D°(sin x- e20) A -sin x - 32e* B sin x - 32e2 © -32- e D cos x - 32e2

A:

Q: Use complex analysis methods to find T = 6²² 5 I 2π cos 2x 5 + 4 cos x dx.

A:

Q: a Show that (sin(m + n)x + sin(m – n)x) b Hence, without using the product rule, differentiate sin…

A: We will find out the required values.