Question

Pls tell the answer I will mark brainliedt

Answer 1

Answer:

2–√(cos(3π4)+isin(3π4))

Step-by-step explanation:

1+7i(2−i)2=1+7i4−1−4i=1+7i3−4i

=1+7i3−4i∗3+4i3+4i=3+4i+21i−289+16

=−25+25i25=−1+i

So, r(cosθ+isinθ)=−1+i

∴rcosθ=−1andrsinθ=1

∴r2=2⇒r=2–√

cosθ=−12–√andsinθ=12–√

∴θ=3π4

So, polar form will be,

2–√(cos(3π4)+isin(3π4))