.L.H.S.-R.H.S. HW/ Brove that: (1) 1-tan? x=sechx (2) coth x-1=csch?x (3) sinh¢cFy)=sinhx.coshy Fcoshx:sinhy %3D

Q: 1. tan? x dx 2. | cot2 x dx

A: 1.∫tan2x dx2.∫cot2x dx

Q: 10. y = cos 2t tan 2t

A:

Q: Solve the following initial value problem: dy = -2y + 14 dt y(0) = 13 y(t) :

A:

Q: 3. Evaluate fe cos rdr 4. Evaluate: / tan -1 (3x)dx.

A:

Q: Y==(x+1) tant x- Ans:

A: Evaluate it.    1xdydx=tan-1x

Q: What is the y-value for the function y = tan x if x =- ? 117 4

A: Explanation of the answer is as follows

Q: give the period of y = tan (3x)

A: Here we use the general equation of tangent function that is y=a tan(bx) and the period =πb

Q: step by step how to differentiate y=x-cosxsinx

A:

Q: Theorem 7: Let p be a prime number and m,n be positive integers. Then F is a subfield of F. if and…

A:

Q: fr. sin ax cos 3x dx

A:

Q: Find S 3 tan x dx

A:

Q: arc cos XY VI-x²

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

Q: S.S. X x Arcsin y 4 yª dydx

A: Reverse order

Q: Find the standard answer for | tan(x) + e² dz = +C

A: ∫tan(x)+exdx

Q: 15

A: We have to find equation

Q: B) Find and if x sin 3z and y = tan 3z dx

A:

Q: For (a), how did cot y become tan y?

A: a). given  dydx=cotx cotydy= (cotx coty)dx1cotydy=cotx dx integrating on both sides we get…

Q: (5) sinh 2x = 2.sinh x.coshx %3D

A: (5)To prove the following identity sinh(2x) = 2·sinh(x)·cosh(x)

Q: eteR MiNe SiN IN°()COS)dx

A:

Q: If y = tan-1(-1), find the value of y without use Calculator.

A: To find: The value of y without using calculator: Given: The equation is y=tan-1-1. Concept used:…

Q: /3 dx cos x tan x /4

A:

Q: SIixdx 4. cosxa/5+ Ln°cosx 2

A: ∫sinx  dxcosx 5+ln2cosx lets apply u-substitution method lets assume u=cosx…

Q: J sec° (10t) tan“ (10r) dt 4 10.

A:

Q: (a) y = = tan a 18

A: To differentiate the following function.