Perform the indicated operation (Hint use DeMoivre's Theorem): 14 [ cos (195*) + i sin (195°) ]* 15 [ cos (226 ) + i sin (226*)] Give your answer in polar form: [cos F) +i sin ) ]

Q: Perform the indicated operation: 13 [ cos (142°) + i sin (142°)]* 14 [ cos (74°) + i sin (74°)] Give…

A: Given: cos(142°)+isin(142°)*14cos(74°)+isin(74°)

Q: 4. 2(cos 225+ i sin 225) 2(cos 240+ i sin 240) Simplify

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Q: plex numbers in polar form : i-1 (iii) TC Cos 3 +i sin

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Q: 5. Evaluate: tan-(2 – 3j). Express in polar form

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Q: Write in polar form: 8· (cos(155°) + i sin(155°)) 3. (cos(190°) + i sin(190°)) · (cos( ') + i sin(

A: Given, 8·cos155°+isin155°3·cos190°+isin190°

Q: a) 2 sin¹ (2x) cos³(2x) dx

A: The given integral

Q: The quotient of z1 =6 cis (2/3); z2 =2 cis (1/6) in trigonometric form is;

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Q: Given that z = 4 ( cos· 4 +i sin) and w = 1 – iv3. Find 4. %3D a) 2 w b) E c) arg (-), in radians as…

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: Using trignometrie formula Solve sin e + 2 cose =| for angles between o and 360°

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Q: 4) a) Find all solutions of sinhz = 0. b) Evaluate and express your answer for the following…

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Q: Write the following numbers in the polar form r(cos 0 + i sin 6), 0 < 0 < 2n. (a) 3 r = .0 = (b) 8i…

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Q: If - (7/√2) - (7/√2)i is written in the polar form r (cos θ + i sin θ), what are the values of r and…

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Q: Express the following in polar form): (iii) (cos 300° + i sin 30"). 2 i) sin 60° + i cos 60° (ii)…

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