Let a be a constant. Given that e6 -107 | 32° In(ax)da = el8 ( 42 – find In a. 3 3

Q: If 0< b< 2, for what value of b is cos (e²) dx a minimum? A в 0.452 1.145 D) 1.550 E 2.

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Q: Determine the value of e in sin(46 + 2°)csc(30+5°)% =D 1 O 2° 5° 4° 3°

A: Use basic identities of trigonometry

Q: Je²² e² sin (e)dr

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Let sin A = -3/5 with 270° ≤ A ≤ 360° and sin B = 12/13 with 90° ≤ B ≤ 180° and find the following…

A: Given sin A=-35 since, cosA=1-sin2A so,  cosA=1-925         =1625         =45 Also given, sinB=1213…

Q: A coil of inductance 1 henry and a resistance of 20 ohms is connected to an emf E= 200 sin(20t),…

A: Given  L=1 henry R= 20 ohms  E= 200 sin(20t)

Q: Find 0, 0° < 0 < 360°, given the following information. cos 8 = 1 and e in QII e =

A: The solution for the above question is shown below.

Q: Find all solutions z of the equation sinh z = 0 on the disc D(0, 15).

A: Given equation is, sinhz=0 and disk D0,15

Q: Find the value of when X=3 cos e – cos 30 and y= 3 sin e- sin 30 when e = 92 degrees. (A) 0.07 (B)…

A: Given: x=3cosθ-cos3θ and y=3sinθ-sin3θ To find: The value of dydx when θ=92°.

Q: ind the exact values of the following d-e and show your complete Solution. (Circular Function) d.…

A: d) cos420° can be calculated as, cos420°=cosπ180°×420°               =cos7π3               =cos2π+π3…

Q: 32. What is e in the equation sin (e- 20°) = cos (20 + 5°)? а. 150 b. 25° c. 35° d. 75°

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Q: Find e, 0° s e < 360°, given the following information. V3 and e in QIII sin e 2 e =

A: The given value of sinθ=-32 Since all trigonometric ratios are positive in 1st quadrant, therefore…

Q: 10) Show numerically (to three decimals) that the formula cosine (a + b)=cos a cos b -sin a sin b is…

A: To prove that  cosine(a + b) = cos a. cosb - sina. sinb Given  a = 27° b = 41°

Q: =} = (² S +4)² = cos t} = se

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Q: Answer - 5 8) (section 6.3) Given sec (0) = co t(0 ) > 0 find sin (0 ) TEX Answer

A: Use quadrant to solve

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A: # We are entitled to answer three sub-parts. Please resubmit the question which you wish to get…

Q: 85. Evaluate cos (90° – sin-1) a) + V15 2-V15 b) unde fined c) +V15 4-V15 2-V15 d) + e)

A: Given:

Q: Find the exact value of sin (a – B) under the given conditions. 15 T 20 sin a = 17' 2 0<B<2 29 < a <…

A: π radian = 180° π2 radian = 90°

Q: 1 -³ e"/ cos? e ,? dr sin@de ý do = x 32na X = ?

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Q: Find e, 0° < e < 360°, given the following information. V3 and e in QIII 2 sin e = e = Find e, 0° <…

A: We are asked to find the θ

Q: HWit Solve the fallowihg first order OLE ス -x(4) P sin DでSma Sloメ=

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Q: If sin(e) = 0.788, then what is the approximate value of csc(e %3D O 4.717 0.212 O 0.788 1269

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Q: Find p(t) if p"(t) = 2e' +4 cos(t), p(0) = 0 and p'(0) = 0. Explain why the expression you found for…

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Q: E. Evaluate the following. 1. L{e* + cos 6t – ešt cos 6t}

A: I have stated the used formulas in the solution.

Q: Find all the four square roots of cos(0) +e¡ɛ2 sin(0). Hint: e¡e2e3

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Q: 5. Find all values of e 0° <e<360° if a) sin e = 0.7880 Pick a) or b) one b) tan e = -V3 %3D

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

Q: Find all solutions of the equation cos z sin z – 2 cos z = 0. The answer is A + Bkr where k is any…

A: topic - trigonometric functions A= pi/2 and B = 1

Q: | 2 cos®e de= COS 70 .a 256 35 128 70 T cO 128 35 256

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Q: Find the value of cos e if sin e= 0° S85 90° 7. 25 49 33 3

A: Given condition - 0° ≤ θ ≤ 90°Hence, θ is in 1st quadrant.We know that,sin2θ + cos2θ = 1…

Q: B. Find 0 to the nearest tenth of a degree if sin 0 = -0.3, 0° < 0 < 360° and 0 E QIV.

A:

Q: Solve for <A in cos A = 0.7715, to the nearest degree. - - a. 7° С. 40° b. 25° d. 64°

A: Given  cos A = 0.7715 We have to solve for ∠A to the nearest degree.

Q: 36sin(t)cos(t)=−16cos(t)

A:

Q: (e) Use Euler's formula to prove the following formulas for cos(r) and sin(x) : eiz + e-iz eiz –…

A: Since you have asked multiple questions in single request so we  will be answering only first…

Q: Find the value of all six trigonometric functions for e = 4 %3!

A:

Q: Given cos(0 + 25°) = 0.3327, find all e to the nearest degree in -180° < 0< 270° .

A: We are given : cosθ+25o=0.3327 Now, the value of cosine is positive , so θ+250 will lie either in…

Q: Given Cos(a) = and 0 < a < T/2, find the exact value of Cos(a/2).

A:

Q: Give the degree measure of 0. -1 e = sin -1 2. 135° 45° 120° O60°

A: Given expression

Q: If cos t =- and t is in the 3rd quadrant, then sin t = V45 O V53 V45 V45 V45

A: In third quarternt sine and cosine both are nagetive.

Q: 5. Find L {e" cos?t cos t

A: The Laplace transform of a function f(t) is given by the formula: The Laplace transform of the…

Q: An RL circuit has an emf given (in volts) by 3 sin 2t, a resistance of 10 ohms, an inductance of 0.5…

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Q: Find all solutions of the equation cos x + 1 = 1. Your answer is A + Bkr, where A with 0 < A < T, B…

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Q: Find all solutions of the equation 2 cos x - The answer is A + Bkn and C + DkT where k is any…

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Q: Find the exact value of cos e 13 15 O 15 17 28 O 2 17 15 13

A: Cos = base/hypotenuse

Q: А. Find the general solution of the following first-order ODE ху' — у + 2х3 sin? (2)

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Q: E 13 N 12 A

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Q: By Euler's formulae eia = cos a + i sin a and substitute in the above equation. 00 U (a, 0) = (cos…

A: It is because of odd function integration over symmetric interval.

Q: E The alternating current in an electric inductor is | =5, where E is voltage and Z = R+X_i is…

A: Given that : R=6 and XL=2 ⇒Z=R + XLi=6+2i Now,  E=5(cos 500+ i sin 500)= 5ei 500=5e0.872i

Q: Find the value of e if (sin e + cos 0)* = 0, where < 0- c0 <n.

A: