A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Find the product of z1 and z2, where z1 = 8(cos40° + i sin40°) and z2 = 4(cos135° + i sin135°).
Solution:
To find the product of the z1 and z2, we will use the rules of complex numbers.
z1 = r1 (cosθ + i sinθ)
z2 = r2(cosϕ + i sinϕ )
⇒ z1 × z2 = r1 × r2 (cos (θ + ϕ) + i sin (θ + ϕ)) --- equation(1)
Using equation(1),
r1 = 8, r2 = 4
θ = 40°, ϕ = 135°
z1 × z2 = 8 × 4 (cos(40° + 135°) + i sin(40° + 135°))
z1 × z2 = 32 (cos(175°) + i sin(175°))
Find the product of z1 and z2, where z1 = 8(cos40° + i sin40°) and z2 = 4(cos135° + i sin135°).
Summary:
The product of z1 and z2, where z1 = 8(cos40° + i sin40°) and z2 = 4(cos135° + i sin135°) is 32 (cos(175°) + i sin(175°)).
Math worksheets and
visual curriculum
visual curriculum