Complex Numbers Simplify (cos 50-sin 50)²(cos 70+i sin 70)-3 (cos 40-i sin 40) (cos 0+i sin 0)5

Q: Simplify the complex number (Z^3) * ?and find the Re(z) & Im(z)

A: From De Moivre's Theorem we have,  Let z=rcosθ +isinθis a complex number in polar form. If n is a…

Q: a) Sketch one cycle of f(x) = -9 sin (4x-3n) + 15. Please complete on your own paper. b) State an…

A: Given,fx=-9 sin 4x-3π+15

Q: Find the imaginary component if the complex number a + bi is raised to m if a = 9, b = 6, and m = 5.…

A:

Q: 12cis(75°) Calculate the exact value of writing your answer in rectangular form 2cis(15°) ’ a + bi…

A: Complex number

Q: (8+8i)(1-i) Write the trigonometric forms of the complex numbers.

A: Multiply

Q: 7-i/-i divide complex number

A: Given : 7-ii

Q: sin2(78°) + cos2(78°)

A: Question is based on trigonometric ratios and angels.

Q: 13i · (1 – 5i) = Your answer should be a complex number in the form a + bi where a and b are real…

A:

Q: Write all values of a) ln(e-2)   b) ln(-3)

A: In this solution, we will find the values: (a) lne-2 and (b) ln-3. We know that lnab=blna. We know…

Q: 60 6-V-8 5. 6. 4 + V-25 -2

A: We have to simplify the complex numbers. 4. i460 5. 6--8-2 6. 4+-25

Q: Find the real component if the nth root of a + bi is determined for a = 10, b = 9, and n = 7. Round…

A: Given  a= 10 b=9  a+bi=10+9i n=7

Q: Present complex number z in algebraic form =* + 23D 35 1-3i

A:

Q: 3/2-4i -(3+2i)

A: Note -  You have not used bracket in first part so I have solved the question in two ways. Check the…

Q: Plus or Minus (3 + 2i) + ( I - i) = 4 + i, ( l - i) - (2 + 4i ) = - 1 - 5i.

A: We have to prove the expression by simplifying it: 3+2i+1-i=4+i and, 1-i-2+4i=-1-5i Simplifying LHS…

Q: Evaluate In [(1+ i)']

A:

Q: What is the result of multiplication of complex numbers -√3+1 and (cos+ i sin )? A (cos+isin) B (cos…

A:

Q: What is the conjugate of - i? 7 o-- 7 4 7 4 Submit Answer

A:

Q: What is the first step in writing the complex number -1 + i in trigonomet-ric form?

A: Consider z=x+iy is any complex number, so polar form is, z=x+iy=rcosθ+isinθWherer=x2+y2θ=π-tan-1yx…

Q: sin²A = 1 - cos²A cos²A - 1 1 + cos²A

A: sin2A