SOLUTION: What is the following quotient expressed in polar form:
10*(cos(35 °)+ isin(35 °)) / 5*(cos(100 °) +isin(100 °))
Please enter your answer in cis notation and enter an angle
Algebra.Com
Question 982281: What is the following quotient expressed in polar form:
10*(cos(35 °)+ isin(35 °)) / 5*(cos(100 °) +isin(100 °))
Please enter your answer in cis notation and enter an angle between 0° and 360°.
Thank you in advanced.
Answer by ikleyn(52818) (Show Source): You can put this solution on YOUR website!
10*(cos(35°)+ i*sin(35°))/(5*(cos(100°) + i*sin(100°))) = (a quotient has the modulus equal to the ratio of modulus and the argument equal to the difference of the arguments)
= .(cos(35°-100°)+ i*sin(35°-100°) = 2*(cos(-65°) + i*sin(-65°)) = (now replace the angle -65° by the angle between 0° and 360°, which is 360° - 65° = 295°)
= 2*(cos(295°) + i*sin(295°)).
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