Btec: Complex Numbers Polar Form

Easy

Medium

Difficult

Q1) Convert the following z = -6 + 8i to polar form.
Q1) Convert the following z= 9.22 ∠ 139° to cartesian form.
Q1) Given that z1= 90 ∠ 75 °, z2 =30 ∠ -25 °. Calculate \({z1}\over{z2}\)
Q2) Convert the following z = 4 -9i to polar form.
Q2) Convert the following z= 11.4 ∠ 128° to cartesian form.
Q2) Given that z1= 80 ∠ -100 °, z2 =35 ∠ -75 °. Calculate \({z1}\over{z2}\)
Q3) Convert the following z = 8 -4i to polar form.
Q3) Convert the following z= 8.94 ∠ 63.4° to cartesian form.
Q3) z1= 100 ∠ -10 °, z2 =35 ∠ 25 °. Calculate z1z2.
Q4) Convert the following z = -2 -10i to polar form.
Q4) Convert the following z= 12.0 ∠ -41.6° to cartesian form.
Q4) Given that z1= 65 ∠ -35 °, z2 =100 ∠ -70 °. Calculate \({z1}\over{z2}\)
Q5) Convert the following z = -9 + 5i to polar form.
Q5) Convert the following z= 7.62 ∠ -113° to cartesian form.
Q5) Given that z1= 5 ∠ 30 °, z2 =65 ∠ -100 °. Calculate \({z1}\over{z2}\)
Q6) Convert the following z = -7 + 10i to polar form.
Q6) Convert the following z= 8.06 ∠ -150° to cartesian form.
Q6) Given that z1= 60 ∠ -35 °, z2 =5 ∠ -60 °. Calculate \({z1}\over{z2}\)
Q7) Convert the following z = 6 + 2i to polar form.
Q7) Convert the following z= 10.0 ∠ -36.9° to cartesian form.
Q7) z1= 100 ∠ 5 °, z2 =45 ∠ 80 °. Calculate z1z2.
Q8) Convert the following z = 10 -6i to polar form.
Q8) Convert the following z= 3.61 ∠ 33.7° to cartesian form.
Q8) Given that z1= 10 ∠ 80 °, z2 =90 ∠ -55 °. Calculate \({z1}\over{z2}\)
Q9) Convert the following z = 2 -4i to polar form.
Q9) Convert the following z= 8.06 ∠ -60.3° to cartesian form.
Q9) Given that z1= 55 ∠ 55 °, z2 =25 ∠ 35 °. Calculate \({z1}\over{z2}\)
Q10) Convert the following z = -7 -2i to polar form.
Q10) Convert the following z= 8.54 ∠ -159° to cartesian form.
Q10) z1= 45 ∠ 25 °, z2 =5 ∠ 50 °. Calculate z1z2.