CSc r - sin z Prove: cot z cot z csc I cos z cot?z

Q: S(csc a cot z + 10a°)dr cos z + z10 +c 10 - Csc x + +c cot z + a10 +c tan r + x" + c sin z – r10 +c

A: Use power integration rule and substitution method to find given integration.

Q: Let R be the region in the first quadrant lying outside the circle r=67 and inside the cardioid…

A: Double integration problem.....

Q: W 1. Which expression is equal to cot x csc x – cot“ x using identitiės? O tan z O cotz O sec4 z csc…

A: By using property of trigonometry

Q: Cary)= x°Cscx +secy J sinx Cot y

A: Given function is fx, y =x3 cscx +secy sinx coty

Q: sin q- cos q sin q Find for p dq

A:

Q: Evaluate csc?x cot(cot x) dx. O- csc?(cot x) + C O cot(csc? x) + c O -In |sin(cot x)| +c O In…

A: Given query is to find indicated integral.

Q: Derive the De Moivre's Theorem with detail Explanation?

A: Statement: For any real number x, we have (cos x + i sin x)n= cos(nx)  i sin(nx) Or, (eiθ)n=eiθn…

Q: X. C. Prove the following identities. sin(u – v) 12. sinu sinv = cot v-cotu

A:

Q: 16. / cot(z) dr 17. cot (x) dr 18. csc(r) dr

A: (16) ∫cot(x)dx ∫cot(x)dx=∫cosxsinxdxPut t=sinx      dt=cosxdx we get-∫cot(x)dx=∫1tdt…

Q: S(csc z cot z + 9x*)dz csc z+ a +c sec z + a"+c O- sin a + z° + c O csc z + " + c O sec a + x +c

A:

Q: (B) lim sinh r cot I (C) COs z lim

A:

Q: S 3 x" (sinx)dx 3

A:

Q: sin o dB - (sin 20 +B cos o) dộ = 0 O B = csc o (n sin o+ c) O 2B = sin o (In sin o + c) O B = sin o…

A:

Q: + COS I etan sin z – cos I cos2 7 Find: a cot r dr b S cot(3r) dr c csc² r dr dsecr tan r dr ecsc r…

A:

Q: Cos t sed 2. (cos t) (cos t) sin(t) Cos t sin t cot t %3D

A: Conversion of cosecant to sine is, cosecθ=1sinθ Conversion of secant to cosecant is, secπ2-θ=cosecθ

Q: QI: A box weighing 100 N is at rest on a horizontal floor. The coefficient of the static friction F…

A: Given  The box weighing 100N resting on the floor having coefficient of friction as 0.4 A small…

Q: Determine whether the statement is True or False. Verify it. If æ = sec(0) then S 22-1 dx S (sec 0)…

A: Here we use some standard trigonometric identities. We know that,           1+tan²x = sec²x

Q: Transit Substitu Definitior Substli Definitic Segmen Given: PQ TQ, UQ= QS Prove: PS TU T.

A: Given data;   The first condition given is PQ≅TQ. The second condition given is UQ≅QS. (3) The total…

Q: Verify the trig expression given: (must fill in every blank) cot z sin z cos z 1 1 cos z :: 1 cos x…

A: We have to fill the blanks

Q: Find y' and simplify: y= cot(e Sin ) -esin t y' = 1+e2sin t sin t cos t y' = 1+e?sin t %3D sin t cos…

A: Topic:- derivatives

Q: 6 Find f(r) if f'(r) is: b sin (2.r) cos(2.r) sin r+ coS I etanz a sin r ecos z sin z- coS I cos? 7…

A:

Q: S sec? z cse" z dz sec z csc r – 2 cot a+C Q1/ Ans. Q2/ Ans. arcsin(/7) - VIVI-z+C Q3/ tan 3 I sec x…

A:

Q: et f(x,y) = C be the antiderivative of F(x) = x-cos(2x). Determine the value of C if x = 68 and y=…

A: Given problem:- Let f(x, y) = C be the antiderivative of F(x)=x2cos(2x) Determine the value of C if…

Q: sin (z+27) .A sin z .B COS Z .C tan z

A:

Q: Fnd the exact epressions for sin 0, cos e and tan 0 sin e= (Smpity your answer)

A: We have to find the values of trigonometric ratios.

Q: cot z• 2z dz In sen z' + c 33. cot x' dz %3D 1/2

A: see below the answer

Q: What is the area enclosed by the curve r = 2 cos 30? Answer is in square units. Use two (2) decimal…

A:

Q: sinxcost ; 00 = 0, u(pi/2,t) = 0 ) =0, ut(x,0) = 0 %3D 00 = u. - sin x cos t, : u(0, t) = 0, E u(x,…

A: Sol

Q: y" Let y = cot x + (cot x) In(sin x) and y" = . Show that -3 cot x + 2y. dx? csc2 x

A:

Q: S(csc z cot r + 4x") dr = %3D - cSC z + x4 +c O csc x + x* +c - sec r +x +c O - sin a + r + c O sec…

A: Topic- integration

Q: sece B a. tan B %3D 1+cot B

A: This question is taken from the trigonometry in which we have to prove the given trigonometry…

Q: fsin³ 20 √cos 20 de (Use Integration Involving powers of Trigonometric Functions)

A: Sometimes the value of the integration can not find easily then We can find the value of the…

Q: Verify the identity: sin t/tan t + cos t/cot t = sin t + cos t

A: Definition used -                                  tant = sintcost, cot t=costsint…

Q: tan B + cot ß tan B cot ß %3D tan B tan B tan B 1 + %3D csc? B %3D

A: Given query is to transform using identity.

Q: J. Determine the exact value by expressing the given angle in terms of the sum or difference of two…

A: As per the guidelines we can solve 3 sub bits only

Q: Verify the identity: cot t + sin t/(1 + cos t) = csc t

A: Given: verify the identity cott+sint1+cost=cosect for verifying given identity, we solve left hand…

Q: Find: S cos r dr Hint: In b sin r = sin* r sinr = (1 – cos² x)² sin r, etc. b sin ar dr S sin r cos…

A:

Q: The simplified form of (csc(-x) + cos(-x)] · [5 sin²x sec² x] O -5 sin æ sec²x O -5 sin z sec z 5…

A:

Q: sin' Acos e de. (b) cosA de. Aus. (a) 37/256. (b) 5T/8 Evaluate (a)

A: (a). We use Gamma function to evaluate the given integral. (b). We reduction formula of cos(x), to…

Q: Sind Double în tegrals t he area bounded curre y =メ2+5, 2imeメニル

A:

Q: Describe how csc t varies as t increases from 0 to T/2. R (0, 1) cot t Q P(x, y)t units t radians…

A: let y=csct and t∈0,π2 claim- to determine how csct varies as t increases

Q: Find the area inside the circle r=6cos(theta) and outside the cardioid r=2(1+cos(theta)) Area=

A: Given that,  Equation of the circle is r=6cosθ Equation of the cardioid is r=21+cosθ Now, consider…

Q: cotx da cos I da sin r 3.

A:

Q: S(csc a cot r+ 9x*)dr =. O - sec z + a° +c O sec a + x° +c O - csc z + r° +c O - sin a +2° +c O csc…

A:

Q: Prove: sin?(x) tan(x) + cos?(x)cot(x) + 2sin(x)cos(x) = tan(x)cot(x)

A:

Q: If csc(t)cot(t)-cos(t)= cosa(t)/sinb(t), then  postive power a = positiv power b =

A:

Q: The simplified form of [csc(-1) + cos(–z)] - [3 sin?z sec² I] -3 sin I sec2 z + 3 sinI seC I 3 sin…

A:

Q: Find the area that lies inside both curve: r = 1 – cos(θ) and r = 1 + cos(θ). Draw.

A: