40 + 70j + j100 tan 0.67 = 100 100 + j(40 + 70j) tan 0.67 40–237.8j 40 + 70j + j100 × (-3.078) = 100 100 + j(40 + 70j) x (-3.078) 241.142279.55° = 100 338.634338.68° 100 x 0.714 - 5139 = 100 315.46 – 123.12j = 100 x (0.36 – 0.61j)

Q: Multiply complex numbers 3(cis122)4(cis213)

A: Given complex numbers: 3(cis122)4(cis213)

Q: 7-i/-i divide complex number

A: Given : 7-ii

Q: Explain what complex numbers are and how to use them? What are number sets and explain them

A: Complex numbers are the numbers that are expressed in the form of a+ib where, a,b are real numbers…

Q: How would I find the magnitude of the complex number based on the given values for z?

A: To find the magnitude of the complex number

Q: 75'-8" 56'-3" 17'-8" B 30'-10" C 十

A: A+56'3''=75'8'' A=75'8''-56'3'' A=19'5''

Q: How do you find the nth root of complex numbers and provide an example?

A: To find the nth root of a complex number first convert it into a trigonometric form. z=r [cos θ +i…

Q: What is the absolute value of the complex number -4-\sqrt(2)i ?   Please clean handwriting

A: We know that if Z= a+bi then absolute value |Z| = sqrt(a^2+b^2).

Q: Find a complex number so that c^2=i

A:

Q: Establish that square root 2 is a rational number

A:

Q: The distance from the origin to the point that corresponds to a complex number is known as the…

A: The absolute value ( modulus ) gives the distance from the origin to that point z , where z…