Express the product of 21 and 22 in standard form given that: z1 = 14 (cos(x)...
Find the product z1z2 and the quotient 21. Express your answers in polar form. 22 21 = 5 cos = 5(cos(1) + i sin()). 22 = 8(cos(65) + i sin (75)) 2122 = Z1 Z2
Write 21 and 22 in polar form. 21 = 5 + 5i, z2 = 16 Z1 = x 22 = x Find the product 2122 and the quotients 1 and 1 (Express your answers in polar form.) Z2 2122 x 21 22 1 21 = X
Given that z1 = 6−3 i and z2 = 3−11 i, find the following in the form x + y i _ Z1 = _ Z1 Z2 = Z1/Z2=
21 Find the quotient 22 of the complex numbers. Leave your answer in polar form. 1 2 =${cos + i sin Z2 = COS i sin 10 10 21 22 (Simplify your answer. Use integers or fractions for any numbers in the expression. Type =
5. B My Not -12.38 points SAlgTrig4 8.1.005. Let Z1 = 9(cos(70) + i sin(3) and 22 - 5(cos(57) + i sin(58). Find 2122 and 21. (Enter your answers in a + by form.) 2122 -
Given 21 = -5(cos(127') + i sin(127)) 22 = 8(cos(8") + sin(8')) Find the product Z122. Provide your answer below:
-/5 points Trig2 5.3.061. in radians. Let ose < 2.) Write 21 and 22 in polar form. (Express z = √3+1, 32= 1 + √3i 1 = Find the product z122 and the quotients and (Express your answers in polar form with expressed in radians.) Z1 Z2 = Need Help? Read it Watch it
Find the product 2122 in standard form. (Simplify your answer completely.) 21 - 1+iV3, Z2 = -V3+ 21 22 Write 21 and 22 in trigonometric form and find their product again. 2122 = Finally, convert the answer that is in trigonometric form to standard form. Are the two products equal? O Yes No
17. If z1 = 2 – 2i and 22 = 13+i, find 21 22 (a) Show work using algebraic form, and give the answer in algebraic form. (17a) (b) Show work using trigonometric form, and give the answer in trigonometric form. (175)
3. (a) Let z1,z2, z3 € C, prove the following identity: (21 - 22)(22 – 23)(23 – £1) = (22 - 23)+23(23 – £1)+23(21 - 22). (b) In AABC, P is a point on the plane II containing A, B and C. Prove that aPA +bPB2 +cPC2 > abc.