Show that ea?,2 cos bx da = (VT /2a). a > 0.

Q: Use the method of substitution to evaluate | 2x cos x² dx. sin x? + c – sin x? + c sin x? + c sin x-

A: We use substitution method

Q: If r=In(sin2r), then dr is equal to

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Q: Substitute cos 60 = u. Differentiate with respect to e on both sides. sin 60 de = du

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Q: Verify that if y = ƒ(θ2 sin θ, then y'(θ) = ƒ'(θ) sin θ + ƒ(θ) cos θ.

A: We use the product rule

Q: D?/if w= Cos (X+y)+Sin (X-y) Show that

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Q: Find the solution set of sin² (2x) – cos? x = 0 on the interval [0, 27).

A: We know the identity, Sin(2x)=2.Sin(x).cos(x)

Q: Find tan'e de cos*e 33. sin o 36. Cos

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Q: b) cos(-z)=?

A: In the question we have to find the angle of cosine which is lying in third quadrant as cosine is…

Q: Given that cos(x) = 0.42, what is cos(-x)?

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Q: By using the relationship between the hyperbolic sine function and its Ssinh- (x)] = V. inverse,…

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Q: At what value(s) of x does cos x = 2x?

A: To determine the intersection value of x where x = 2x.Here the first curve is y = cosx and the…

Q: If x = 4 sin 0, then J csc2ede = %3D

A: Here, ⇒x=4sinθ⇒sinθ=x4 By using Pythagoras theorem, We will have remaining side of the triangle…

Q: Find, if y=3cose+cos³0 do, and x = sin³0

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Evaluate S cos ve Vē sin? ve

A: consider I=∫cosθθ sin2θdθto solve the itegral we can use method ofsubstitution

Q: So sin' z cos²z dr csc? z

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Q: Let sin 0 = with A in QIV. Find the exact value of cos 20 %3D 315

A: A is in QIV. There cos is positive  So,

Q: Find the Integrationof {(u) = tanu + Cos 24. %3D

A: Consider the function, fu=tanu2+cos2u

Q: If cos A with A in QIV , find sec %3D a. sec | b. sec 2. с. sec A d. sec 4-5 %3D A sec e. A2 1/2 II…

A: Since you are asking multiple questions. We are answering only the first question. Given, cosA=18…

Q: If it is known that sin a = and < a <n and cos ß = -- and <B < , find the exact %3D value of cos(a +…

A: cos2 α+sin2 α=1  Substitute sin α=13 in the above trigonometric identity: cos2 α+132=1 cos2…

Q: If csc(z) = 6, for 90° <z< 180°, then %3D sin () %3D «(금) cos tan(플) - ||

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Q: Given that O 1800, determine the numerical value of this %3D sine = %3D -1 1

A: Put  thetha=180°

Q: ) Use Euler's formulas to calculate | cos(ax) sin(bæ)dx for a > 0 and b > 0.

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Q: Calculate fsin³ a cos° a dx.

A: Let cosx = t Differentiate on both side   - sinx. dx = dt    sinx. dx =  - dt

Q: The value of the expression cos z - tan z – 9+ sin z+ secz is

A: given expression is…

Q: Find dr 0Y-- の 3. Cosr+ Cot O =r

A: Solution:-

Q: I co cos (In x) dr

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Q: The area of the region that lies inside r = sin0 and outside r=1 cos60 is given by:

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Q: Sec A - cos A is identically equal to

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Q: Find fo, fe fe if fp.0,4) p cos sin 0 %3D

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Q: What is the value of sinh (In 2 +i)?

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Q: Solve for the convolution of sin (t) and cos (t).

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Q: Show that cos + i) =:IG + e) + iv3 - e) 4

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Q: The period of y = 3 cos 5x is 2 TI 2 T1/5 2 π/3

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Q: If an answer is undefined, enter DNE. sin (270°) = %3D cos (270°) = %3D tan (270°): %3D cot (270') =…

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Q: find the exact value cos151ocos1o + sin151osin1o

A: We have to use cosAcosB+sinAsinB= cos(A-B)With A=151 and B=1

Q: Evaluate 3 cos z sin" e dz.

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Q: Find an equation in rectangular co recl sec(A)

A: Given,      ρ=7cscφsecθ

Q: find dp/dq p =sin q + cos q/cos q

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Q: find dp/ dq. sin q + cos q = cos q

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Q: Evaluate 1- Sin L Cos L do 2- ( sing ecasy Sdt J-t44t-3 3-

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Q: If fx= cos³4x Sin 4x,then F(x) + C is ?

A: Consider the given function. fx=cos34xsin4x Now, find the integration of the function.…

Q: 2. Given that csc A = v2, A in QI, and sec B V5, sin B <0, find: a. cos (A- B) b. tan (A- B) %3D

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Evaluate: Je*cos(7e*)cos(4e*)dx.

A: We need to integrate∫excos7excos4exdxSubstitute ex=tDifferentiate x w.r.t texdx=dtThen∫cos7tcos4tdt

Q: Find out Cos(A-B)=?

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Q: dr + r tan 0 = cos? 0, do = 1. 4.

A: Given DE is drdθ+r tanθ=cos2θ   and rπ4=1 solve the given DE

Q: Integrate the followings sin cos dx cos - 4

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