w/4 tan e If u = sec 8, then de = sec e du A Judu du UJudu

Q: sec t sin t (1 + sin t) 1 - cos't 28. - 1 CoS

A:

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: 15. y = sec'x, y 8 cos x, -T/3 < x< T/3

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Q: sin(2u) cos(2u) sec u c) sin u c u

A: We have to show that sin2usinu-cos2ucosu=secu We have to consider the left hand side of given…

Q: f(1) = 2 sec I – tan r on [0, 7] [0, 4) с.

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Q: cos ne sin no 4.0 |cosh t sinh t |- sin ne cos ne sinh t cosh t

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Q: cos u= 4/5. Evaluate sin v

A: Explanation: Given that,                          We know that,                        For angle u,…

Q: T/4 tan e If u= sec 0, then de = sec e

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Q: cos z cot z = sin z

A: We have to prove cotz=coszsinz

Q: IT y = /tan x then equals dx O 1) sec? 2/tan x 2) -sec? x 2tan x O 3) sec? x /tan x 4) - sec? x Vtan…

A: The given function,   y=tan x

Q: 4 sec(8) = find cot(0) 2

A: Use trigonometric rations

Q: cos (E) U4+ tan(t)

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Q: cos u= 3/4. Evaluate tan v

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Q: g(1) = 4 sec t + tan t %3D

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Q: sin 2 rsin2tdt A sint B sin 21 cost D sin2t E None

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Q: sin t 1- cos t 6. s = 7. s = 12 - sec t + 1

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Q: 10 Csc Y Sin X Cot tan r

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Q: 8. dr+ (2r cot 0 + sin 20) d0 = 0.

A: This will be a linear differential equation of r. We will write this in standard form and then solve…

Q: cos(x – y) Prove that tan y + cot x sin x cos y

A: We need to prove cosx-ysin x cos y=tan y+ cot x                  Now, we will use the formula…

Q: cos e sec e = 1 1 cos e sec e = cos e = 1

A:

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: find dr&gt;du.                                                                 r = (1 + sec u) sin u

A: r=1+secusinu

Q: 22. tan?0 sec+0 d0 26. /4 sec'0 tan e de

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Q: tan W= 12/9 tan X = 9/12 16 7. • sin L = • sin M = 34 cos L = • cos M = • tan L = • tan M =. M

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Q: tan x dx Vsecx 3 Evaluate A) I DON'T KNOW O B) (2 sec^(3/2)x)/3+2/sec^(1/2)x+C OC) NONE OF THESE D)…

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Q: sec² x 0 1+tanx If sh -TT/2 -TT/4 TT/3 TT/6 O dx In 2, then what is the value of k? =

A:

Q: Compute the derivative.

A: Here, we use product rule of differentiation to find derivative of given function.

Q: **(sec! I tan /)i + (tan /)j (2 sın cos r)k di tan 7)j 50. sec i tan 7)i 0.

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Q: cos o cos(x sin 0); p} = r(p) cos po CoS O %3D = cos ¢ sin (x sin o); p} = r(p) sin po %3D

A: We have to prove the following result Me-xcosϕcos(x sin ϕ);p = Γ(p) cos pϕMe-xcosϕsin(x sin ϕ);p =…

Q: tan 0 Q1:Find d do [(2 sec² y + 32 ) dy

A: Question 1 is solved. Solving more questions are against the policy of bartalby. Post remining…

Q: tan x + tan y 4. cot y tan x cot x + cot y

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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: h(x, y) = cos x coS y. COS x cos

A: Given that h(x,y)=cos(x)cos(y) with |x|&lt;0.1 |y|&lt;0.1 To find the second degree Taylor's…

Q: Approximate to four decimal places, when appropriate.

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: sec® tan Od® coso A) tane В sece sec?0

A: topic - indefinite integral

Q: 4 I sec(ø) (b) p* sin(ó) dpdódo

A: The answer of part b is as below.

Q: CoS X ((sex+ tan x ) = (otx t sin x (ot x t sin x %3D

A: Write cosec x and tan x in terms of sin x and cos x to simplify the expression. cos x(cosec x+tan…

Q: f tan(0): and sin(0) < 0, then 3 %3D sin(e) = %3D cos(0) = %3D sec(0) = csc(0) = cot(0) =

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Q: sec e cos e O cos?9 cos²0 01 O sec?0 ||

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Q: cos 2r + cos 2y cot (y - x) cot (y + x) (y + x) Cos 2r cos 2y 1

A: We have to prove given trigonometric equation is correct.

Q: f. – 1 = tan 0 sec 0 over [0, 2n)

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Q: cotx da cos I da sin r 3.

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Q: π/4 tan 0 If u= sec 0, then d0= sec 0

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Q: Verify the identity.

A: Given,           The identity is cosθ+sinθtanθ=secθ .

Q: 32. tan?x sec x dx 7/2 35. cot'x dx

A: Topic :- Integration

Q: 34. cot a sin a 36. cot t tan t csco sece 38. cot 0 40. csc? t – 1 + cota tan a 42. tan? a 1

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Q: O A. sec(x) B. cos(x) C. sin(x) OD. cosec(x) OE cot(x)

A: We have basic trigonometric identities cos2x+sin2x=11+tan2x=sec2xcot2x+1=cosec2x.. . . . . . .(1) We…

Q: 1+sin A cos 2 sec u – cos µ = sin µ tan µ 4. + 2 sec 1 %3D cos A 1+sin A

A: We have to verify the given identities.

Q: (a) cos (tan (1)) = V2 (b) sin cos 2.

A: