Determine in which quadrant the product of cos 3pi/4 + isin 3pi/4 and 4(cos pi/2 + isin pi/2) lies.

III quadrant

Step-by-step explanation:

Given are two complex numbers as

Recall Demoivre theorem as

(cosA+isinA)(cos A+isin B) = cos(A+B)+isin(A+B)

Hence here we have product as

A+B = 3pi/4+pi/2

= 5pi/4

cos 5pi/4+isin 5pi/4 will be the product

Since 5pi/4 lies between pi and 3pi/2, we find that this lies in III quadrant.

given hc ∥ gd.¯¯¯¯¯¯which statement is true

step-by-step explanation:

∠cbe and ∠deb are same-side interior angles