Ex: Raise a Complex Number in Polar Form to a Power – Demoivre’s Theorem

– GIVEN THE COMPLEX NUMBER IN POLAR FORM Z=2 x (COSINE PI/6 + “I” SINE PI/6), WE WANT TO FIND Z TO THE 5th POWER USING DE MOIVRE’S THEOREM. WELL, DE MOIVRE’S THEOREM IS STATED HERE BELOW. IF WE HAVE A COMPLEX NUMBER GIVEN IN POLAR FORM, AS WE SEE HERE, THEN Z TO THE […]

Ex: Find the Polar Equation of a Circle With Center at the Origin

– WE WANT TO WRITE THE POLAR EQUATION FOR THE GRAPH OF THE GIVEN CIRCLE. TO DO THIS WE’LL WRITE AN EQUATION IN RECTANGULAR FORM USING THE STANDARD FORM OF A CIRCLE, AND THEN WE’LL CONVERT THE RECTANGULAR EQUATION TO A POLAR EQUATION. SO JUST TO REVIEW, IF THE EQUATION OF A CIRCLE IS IN […]