hich quadrant is  z1+z2−z3𝑧1+𝑧2−𝑧3ifz1=2ej(π/2)𝑧1=2𝑒𝑗(𝜋/2)z2=2+j3𝑧2=2+𝑗3z3=2–√(cosπ4+jsinπ4)𝑧3=2(cos⁡𝜋4+𝑗sin⁡𝜋4)? Question 1Select one:13None of the above42

It is given that z1 = 3 cis(3π__4 ) and z2 = 2 cis(nπ__16) , n∈ ℤ+ .(a) In parts (a)(i) and (a)(ii), give your answers in the form r eiθ , r ≥ 0 , − π < θ ≤ π .(i) Find the value of z13

sin(𝜃 + 𝜑); sin(𝜃) = 1517, 𝜃 in Quadrant I, cos(𝜑) = − 255, 𝜑 in Quadrant II

Find the solution to the equation 𝑧14+13𝑧7+12=0z 14 +13z 7 +12=0 where ∣𝑧∣=1∣z∣=1 that lies in the second quadrant of the complex plane. Express the result in the form 𝑎+𝑏𝑖a+bi.

The figure below shows 2 identical quadrants in a square. Find the area of the unshaded part. Take π as 3.14.

he area of the region bounded by |z|≤4 &−π2≤argz≤π3𝑧≤4 &-𝜋2≤𝑎𝑟𝑔𝑧≤𝜋3 on the Argand diagram is expressed in the form of aπb.𝑎𝜋𝑏. Then find the value of ab𝑎𝑏 (where a & b𝑎 & 𝑏 are co-prime natural number)