Write standart form of complex number 5(cos135^@+isin135^@)

CoormaBak9

CoormaBak9

Answered question

2021-01-07

Write standart form of complex number 5(cos135+isin135)

Answer & Explanation

Cristiano Sears

Cristiano Sears

Skilled2021-01-08Added 96 answers

Standart form of complex number, z=r(cosθ+isinθ), is z = a+ib
Calculate the values of cosine and sine,
cos(135)=12
sin(135=12
Substitute the values od cosine and sine in z=5(cos135+isin135),
z=5(cos135+isin135)=5(12+i12)=52+t2i
Rationalise the complex number, z=52+t2i,z=522+522i

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