8321 Question Help Write the quotient in rectangular form 3

8.3.21 Question Help Write the quotient in rectangular form. 3 cis 310 15 cis 70 3 cis 310 (Simplity your answer, including any radicals. Use integers or fractions for any numbers in the expression. Type your answer in the form a + bi) Enter your answer in the answer box and then click Check Answer

Solution

3 cos 310 + i sin 310 / 15 cos 70 + i sin 70

= 1/5 cos ( 310 - 70 ) + i sin ( 310 - 70 )

= 1/5 cos 240 + i sin 240

= 1/5 [ -1/2 - i sqrt 3/2 ]

= -1/10 - i sqrt 3 / 10