cosx Show that J-3(x) = -. + sinx)

Q: 6sinx -sinx =1 in the interval [0,2pi]

A:

Q: sin 2x Verify 1+ cos 2x = tan x.

A:

Q: cos^2x/1-sinx=1+sinx

A:

Q: [sin³ 4x cos 4xdx

A: We can find the answer as below.

Q: cosx+sinx=cos(2x)  Prove that tanx=-1

A:

Q: Prove the identity. sinx 1+ cos.x 2 cscx 1+ cos.x sinx

A: Given, The identity  sinx1+cosx+1+cosxsinx=2cscx We have to prove the identity.

Q: sinx dx = Show that 0 sinx COSX 2/2

A:

Q: sinr cos (x - y) - cosx sin (x - )

A: As we know that the trigonometric identities: sinA-B=sinAcosB-cosAsinB   Given:…

Q: sin (x) – cos²(x) Show that 1 F COS %3D CSC (x)

A:

Q: cotx(secx-cos x)

A: We have to find  cotx (secx - cosx) We know that ,  cotx = cosx/sinx secx = 1/cosx  Then ,

Q: 1/tanx+secx=cosx/sinx+1  verify

A: We simplify the left-hand side first. Multiplying by (secx-tanx) in numerator and denominator.

Q: 4. 1 + tanx 1- sinx

A:

Q: Prove the Identity

A:

Q: solve (sinx)sec^2(x)+(cos x)cosec^2 (x)=0

A:

Q: Express sin6 Oin terms of powers of sin Oonly

A: We have given,  sin6θ we have to express it in the term of sin only.

Q: 16. Using the Quotient tanx= sinx/cosx to prove d/dx tanx=sec2x

A: Quotient rule of differentiation

Q: cos(-x)+sin(x=x) Q4 prove that sinx 2

A:

Q: Prove cos x (1+sinx 1-sinx sin x. 4 1-sinx sinx+1/

A:

Q: 2. cotx = sin xsin π 2 --x+cos² x cotx

A:

Q: COs 2x cotx x – tanx %3D sinx · cOsx

A:

Q: 1 Differentiate f(æ) = sin-(4x). Use exact values. = (x),f

A: We use the chain rule for differentiation

Q: cosx tanx In(1+x)

A: Write the power series in sigma notation and in expanded form

Q: 2 tanx cotx – tanx=0

A:

Q: sin(x+y) Verify that (sec x cos y + sin y csc x) %3D sin(2x)

A: Prove that sin(x+y) /sin2x?

Q: tanx+secx-1 1+sinx tanx-secxx+1 cosx

A: We have prove trigonometric identities tanx+secx-1tanx-secx+1=1+sinxcosx Left hand side:…

Q: VERIFY THE IDENTITY

A:

Q: Using suitable method, show that 2 tan" (x+2) dx =- – In 2 .

A: We use integration by parts to find integral tan inverse x.

Q: 2. Verify: sin x+tan x %3D sin2x sec x cscx+cotx

A:

Q: sinx Show that -dx= sin x +cos x 4

A:

Q: sin 5a - sin 2a ]sinO OcosO olo

A:

Q: 1. Find tanx and sinx if secx = 4 and sinx < 0

A: Authoring guidelines:…

Q: 3. sinx tan x + cos x

A: We can simplify the expression as below.

Q: sinx Show that -dx = sinx + cosX 2

A: Given, ∫0π2sinxsinx+cosx dxFormula→∫0afx dx=∫0afa−x dx

Q: Find sin X os X

A:

Q: S(sec; - sin) do

A: We know that integration power rule is  Integration of (xn) = xn+1/n+1.   Here i attached the…

Q: sin 2x+cos2x+1 1- Prove cot x sin 2x-cos 2x+1

A:

Q: cos² (In x) sin²(In x)

A: Given: I=∫cos2(lnx)sin2(lnx)xdx

Q: (tan x\secx) _ 1 1 - sin' x sin x L.S.

A:

Q: | (tan x)¬3/2 sec² x dx

A:

Q: 1+ cosx + sinx sinx 1+cos X 2sec x 2csc x 2csc 2x 2sec 2x

A:

Q: Prove (Start either from the LHS or the RHS but DO NOT work from both sides at the same tim 3. Prove…

A:

Q: sin 3x cos“ 3xdx

A:

Q: [1] sin3x Asinx – Bsin³x, find A and B. -

A: Explanation of the answer is as follows

Q: show that sinx less than x if 0 less than x less than 2pi

A: Assume that, fx=x-sinx Differentiate f (x) w.r.t. x, f'x=1-cosx=2sin2x2

Q: 1- Sinx fincl y! 1+ Sinx

A: We have to find y' where it is given that y=1-sin x1+sin x Here two function are in ratio so we need…

Q: cos 2x-sin x 4. -(tan x +secx) %3D sin 2x - cos x

A: Given: prove that cos2x-sinxsin2x-cosx=-tanx+secx For verifying given expression, we solve left hand…

Q: cos2x – sin2x cos2x - -F(x)+C. What is F(X}? For dr =- 3 cosx – sinx -

A:

Q: quat sin-'(2x) + cos-'(3x) = 3

A:

Q: secx-11-cos.x sinx secx +1

A: We have to prove

Q: prove  cosx( 1- tan x)= cos x- sin x

A:

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.