Solve the following equations:  a) tan(x-pi/2)=-1 on the interval (-oo,oo)

Q: 5

A:

Q: Solve Initial value problem i. 8cos?ydx + cosec²xdy=0, y() = dy _ x(r+1) 4y3 y(0) =- 1/V2 ii. dx

A: "Since you have asked multiple question, we will solve the first question for you.If you want any…

Q: write sin(3x)cos(6x) + cos(3x)sin(6x) as a single trig function

A: This question is related to Trigonometric identities, we will solve it using given information.

Q: 2. ( sin32x dx cos 2x

A: We have to integrate.

Q: - sinx) dx 2. 1. (COSX (ax' +b)*x dx 2. 2/3

A:

Q: Salve for x if Arc tan (1- x) + Arc tan (1 + x) = Arc tan

A: Our Aim is to solve for 'x' if tan-11-x+tan-11+x=tan-1x -(i)

Q: 15. (D* – 1)y : = sin 2x

A:

Q: (arctan o tan)' = 1 – pi k E z°(k +1/2)pi When differentiating on the Real line is this true?

A:

Q: Cos(11°+x)=-sin(2x+6)

A: x

Q: Solve for X tan(5x+11)o=cot(6x+2)o

A: We use cot(x)=tan(90-x) property

Q: Simplify 3π2 sinh (πx) - π2 cosh (πx) - 3 sinh (πx) + cosh (πx) = 0 on the interval (0,1).

A:

Q: 9=3 Sin 2X 2.

A: answer is in next step

Q: solve for x tan(3x-4)o=1/cot(5x-8)o

A: We use the reciprocal identity, cotx=1/tanx

Q: find solution set of tan-1x-cot-1x=cos-1(2-x)

A:

Q: 40° 2² (3x-20)*

A:

Q: cos 3x = √3/2 x =

A: Given that cos3x=32. Find the value of x.                     The formula used are the following.…

Q: Solve for GS: 2y"+18y = 6 tan 3x

A: Solution:

Q: Ssin8 (3z) cos5 (3z) dz

A:

Q: solve for X SIN(4X+2)o * CSC(3X+5)o=1

A:

Q: Ja (1 – sinx)3/2 (1+ sinx)²dx"

A: If , then the independent variable x is called the input of the function and the dependent variable…

Q: a) Find b) Find d dx -(sin(2x²)) d dx (2x ln(x³ + 13)) c) Find (37) d dx

A:

Q: t chawthat (1.1), C6.0), Gesz), (2,-8) are concyclic and find the cruabion of the côncle on which…

A:

Q: L{2tcos2t + sin2t}=

A: The Laplace transform of a function f(t) is given by;