I do not know how to solve it and it says the answer is 9/8 cis 330°
In Euler's formula, the function cis(θ) = cos θ + i·sin θ = ₑiθ.
9 cis 60° / 8 cis 90°
= (9/8)[cis 60° / cis 90°]
= (9/8) (ₑi 60° / ₑi 90°)
= (9/8) ₑi (60°-90°)
= (9/8) ₑi (-30°)
= (9/8) ₑi (360°-30°)
= (9/8) ₑi(330) same as (9/8) cis 330°
{60° & 90° should be converted to Radians as π/6, π/4, but fortunately no damge was done here}
Cis 90
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Verified answer
In Euler's formula, the function cis(θ) = cos θ + i·sin θ = ₑiθ.
9 cis 60° / 8 cis 90°
= (9/8)[cis 60° / cis 90°]
= (9/8) (ₑi 60° / ₑi 90°)
= (9/8) ₑi (60°-90°)
= (9/8) ₑi (-30°)
= (9/8) ₑi (360°-30°)
= (9/8) ₑi(330) same as (9/8) cis 330°
{60° & 90° should be converted to Radians as π/6, π/4, but fortunately no damge was done here}
Cis 90