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Q: | cos z In(sin x)dr

A: In some cases an integral can be converted to a standard integral using an appropriate substitution.…

Q: Obtain the general solution to the equation dr +r tan 0 de sec 0.

A: Given first order differential equation is drdθ+rtanθ = secθ. We have to find general solution of…

Q: Show that sin-1 v + cos-1 v = π/2 .

A: Given: sin-1 v+cos-1 v=π2

Q: tan(v) In(cos(v))dv.

A: Assume lncosv = t Differentiate both sides

Q: et tane)=1-Sino +Sine (Sece

A: We will prove that both sides are equal as following.

Q: 0 = µ sin 0 – sin 20

A:

Q: sec?x Integral tanx

A:

Q: tane cote +- = sin0 + cose %3D 9. Sece csce

A:

Q: find the value of cE CoB] for flx)= that satisfy value theorem. mean

A:

Q: Express sin(x +y+z) in terms of cosine and sines of x, y, z.

A: Associative Law: A+B+C=A+B+C=A+B+C Distributive Law: AB+C=AB+AC Left distributive lawA+BC=AC+BC…

Q: Where are the theta valuss for the horizontal and vertical tangent lines on [0,2pi) of r=1+cos theta

A:

Q: 3- cos nX Sin ux dx

A:

Q: | sin(4z) cos(7z) dz.

A: To find:∫sin4zcos7zdz

Q: (cose+ tane) de / (sece + tan@sec2e) de cos e COS True (B) False

A: We have to find out

Q: Where does sin x have a horizontal tangent line? Where does cos xhave a value of zero? Explain the…

A: Concept: The function f(x) at the point x=a, is a line that just touches the graph of the function…

Q: express sin(x+y+z) in terms of cosine and sines of x, y and z

A: Answer and explanation is given below..

Q: Compute integral sin(cos(x^2)) sin(x^2)x dx

A: Explanation is given below...

Q: prove that. sinh ciz) = i sinz sinciz) zisinh z , cescia)= coshz

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: y (3, 4) sin(0) = %3D cos(0) = tan(0) = csc(0): sec(0) : cot(0) = %3!

A:

Q: Explain why trigonometric substitution eannot be used where x = 2 sin 0 on dx 4 – x2

A: We have to calculate the indefinite integral

Q: Compute : exp(i sin(e-i))

A:

Q: Prove the identity. cosx sin (x+y) – sinx cos (x+y)= siny

A: In question We have given two identities and we'll prove it, (i). Cos(π + x) = - Cosx  (ii). Cosx…

Q: Ni cos(2?)a. Cos | x dx

A:

Q: Sin'z cos' de

A: Given: ∫sin12x cos5x dx  ……1

Q: Verify

A:

Q: Prove d [sin-! lu(x))]= I dx dulx) %3D NI- Culx)]? dx

A:

Q: Differentiate with respect to x. Y=sin5x

A:

Q: um point(s) for y=sin 2x- cos. d be in ovprossed in rodians

A:

Q: Consider sin °x cos2x dx. f we let 4=cos x, the integrand can be transformed to

A:

Q: 1. S sin sin de

A: ∫sinx5sinx2dx Use the identitysinAsinB=12(cos(A-B)-cos(A+B))…

Q: Jz sin 0 do 2

A:

Q: x where 3π/2 ≤ x ≤ 2π. 1 + sec²x = 2 + cos²x + sin²x

A: Here we use formula of trigonometric equation.

Q: What is the integrable form of sin-cos-sine de? 2 2 (A) - - B -2 sinu du (D cosu du

A:

Q: S sin x In(1 + sin x) dx

A: Given : Integral of sinx ln(1+sinx) dx The genral formula for the integration of function is as…

Q: Prove that: sin z = sin x cosh y +j cos x sinh y

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

Q: Compute (sin (x)) dx cos'x 3 sin' x cos x O Not listed here 3 sin? x 3 sin x cos x

A: Given query is to find the derivative of the expression.

Q: Integrate e^(2theta)*sin(3theta)

A:

Q: 1 (tan x + cot х) sec x %D 1/cosx 1/sinx 1

A: Given query is to find the correct option for the expression.

Q: Mutiply    (sin theta + 4) (sin theta +3)

A: Trigonometry: (sin θ+4)(sin θ+3) We need to multiply the above factors.

Q: Show that: cos hz = cos hx cos y + i sin hx sin y.

A:

Q: Find generul solution ý +y tan (x) = see (X) - sec %3D

A:

Q: 8 cossa da V sin a

A: Integral

Q: cos400 de J3- sin40

A:

Q: sin z = -isinh (iz) %3D ulgn

A:

Q: Verify that sin(x+y)+sin(x-y)=2sinxcosy

A:

Q: If sinx = siny = a and cosx = cosy = b,then cos(x-y) is

A:

Q: 04.) Show that y = (sin x +cos x) sec x = sec² x

A: Given inequality does not equal. See the attachment

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.