Sine:-4 nd lieg in te four4 twdr. otler Five Sin = 2.Gven t,t triSonamerric functian

Q: B)Prove (cose + i sine)" = cosne + i sin ne

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Q: dy If x=5+ cos20 and y=3– sin20 , what is dx A - csc³20 - cot20 C csc³20 (D cot20 E none of the…

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Q: L( = (coshat sinat + sinhat cosat) L-1 s++4a'

A: We have to prove given result:

Q: 6. Evaluate cos(2 + 2i ) i n + i yfor m. 7. Evaluate sin(i) i n x + i yform.

A: cos(a+b)= cosacosb-sinasinb exponential and logarithm are inverses of each other  e^(ia)=cosa+isina…

Q: dy If x=5+ cos20 and y=3- sin20 , what is -? dx A csc³20 - csc 20 B cot20 D - cot20 E none of the…

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Q: 8 Find cos (s-t) given that cos%= with s in quadrant II, and sin t= 13' with t in quadrant II. 17'…

A: In the second quadrant, sin is positive and cos is negative.

Q: Integrals Evaluate each integral.

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Q: . Lissajous 4 cos 0, y = 2 sin 20 curve: a = Answer +

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Q: Proof that L (cos²t – sin?t) = s2 + 36

A: Note that. Right hand side should be s/(s^2+4).

Q: the length ne following two-dimensional r(t) = (6 cos t+ 6t sin t,6 sint-6t cos t), for 0 sts, L=…

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Q: Let cos A = with A in QII and find V13 sin(2A) = Preview TI Enter your answer as a number (like…

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Q: 4 (t) = -5 sin t + 8sec?t – 8 csct cot t + 4et + - 1+

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Q: Solve the (r + sine – cose)dr + r(sine + cos®)de = 0. A r? + r (sine + cose) = c Br2 + 2r (sine –…

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Q: Q4:B/Simplify Moivre's theorem? [cos 30+ i sin30 15 [cos 0-i sine 1³ [cos 50+ i sin50 ] [cos 20-i…

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Q: 1 cosa dxdy COST 0. A.sin1 4 OB. sin2 c. 글sin2 O D. 응sinl

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Q: theerem 3 2tt sine = S. I = do; a>l. anse 2T (a- Ja?) %3D a+ CEsO

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Q: Find cos(s−t) given that cosine s =−513​, with s in quadrant​ II, and sine t=1517, with t in…

A: In quadrant II , cos is negative but sin is positive

Q: 1 dt sin? tv1 – 9 cot² t sin²

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Q: B)Prove (cose + i sine)" = cosno + i sin no

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Q: Evaluate the integrals

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: T/4 cos(8) 5r* sin(0) dr de

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Q: V125 cos - j sin 11 11 1. Simplify . Express answer in rectangular form. 47 + j sin J5 cos 11 11

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Q: a) costa – sinta + 2sin? a = 1 4. - 1 1 b) sina (sine sin a = cot²a

A: Answer (a):Given that, Now take the left side and simplify in order to show the given identity is…

Q: Q5) chang e the Po lar 2r=2+cos o.(2r-1) to Cartesian

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Q: the squ tS ol mplex 5л 5л 9 (cos () + i sin()). Select all correct Z = 9 9. answers.

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Q: Fired Show that Coshz <Coshx Cosy +i sinhx Siny

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Q: r = 2 sine + 2 cos e

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Q: 4 cos (m) – 4 cos (m) t1 dm sin (m)

A: Consider m=x.

Q: i1. L'[s/(s² +a)*]= (1/2a) t sin at 12, L' [1/(s² + a?)² = (1/2a) (sin at – at cos at) %3D

A: Introduction: The convolution is very significant in calculatig inverse Laplace transformation.…

Q: y² ) sin(a Lsin(m)

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Q: 1. In AABC right angled at B, AB=24 cm, BC=7 cm. Determine (i), sin A.cos A

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Q: i cos z dz , where C is z- 1 =5. z - 2 Find -0.832 Tt 0.832 Tti 0.832 T o -0.832 Tt i

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Q: The value of Sinh(3i) is A)-i sinh 3 B)i sinh 3 C)i sin 3 D)-i sin 3 E)none

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Q: dz and Q\ let z = In (² + 1) where =r sine find dr OP

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Q: The modified Eulerimethad 2 use to solue X 20s y=l Sined y at x=0.l, h=0.02

A: Modified Euler method or Heun's method is another method to solve an initial value problem…

Q: 3 sin 2 tsin2tdt (A sint 3 B sin 2t c) cost (D) sin2t E None

A: Indefinite Integral:

Q: dy If x=5+ cos20 and y=3- sin20 , what is dx (A none of the given choices B - csc³20 - cot20 D…

A: The solution is given below:

Q: dy -? If x=5+ cos20 and y=3– sin20 , what is dx A none of the given choices B csc 20 (c) -cot2ө D…

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Q: 4 5. "sin? 4y cos? 2y dy

A: Substitute y=u2,dy=du2. ∫0π4sin24ycos22ydy=∫0π212sin22ucos2udu…

Q: dy If x=5+cos20 and y=3– sin20 , what is dx A csc³20 B -csc³20 © none of the given choices D - cot20…

A: From the given function; x=5+cos2θ &amp; y=3-sin2θ We know that the chain rule; dydx=dydθ×dθdx

Q: When using u substation what should I use as the u when the problem is the intergral of…

A: Explanation:The given integral is ∫cos3(θ)sin(θ)dθ.

Q: a. Find 2 of the following. dx 1. y = cot? [sin (Tan-1

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Q: cot z dz sin? z 2n 8. 7. 16z

A: Please refer the attached image for complete solution.

Q: Coтрule the mtegral sin r dr т — 4г + 5

A: This would be solved using catchy integral theorem.

Q: 15 where 37t/2 <u< 27T, and cos(v) 5' %3D Find the exact value of the trigonometric expression given…

A: We shall solve this question using only the basic knowledge of trigonometry, and relevance of the…

Q: Cos (a). g + sin (&) = %3D sin(a) =4 (The aPpro Priate a ssigh ment) .: Hint %3D

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Q: a 1. L(sinat) : s2 +a? 2. L(cosat) s² +a²

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Q: x +a -)| < 2lsin(",") х — а If 0< lar – al < 8, then Isina-sinal = |2cos(",")sin(,")| х— а |2cos ("

A: Given: 0&lt;x-a&lt;δTo prove:sinx-sina=2cosx+a2sinx-a2≤2sinx-a2