Find the exact value of given that and . (Both u and v are in Quadrant II.)

Question

Find the exact value of  given that  and  . (Both u and v are in Quadrant II.)

Quizplus · Accepted Answer

Since u and v are in Quadrant II, we know that their real parts are negative and their imaginary parts are positive. Looking at the given values, the only difference between them is in the third grouping of digits (cf83, cf84, cf85). The difference between cf83 and cf84 is 1, and the difference between cf84 and cf85 is also 1. Therefore, it is reasonable to expect that the difference between cf85 and the unknown value will also be 1. Adding 1 to cf85 gives cf86. Therefore, the answer is 11eb80b1_afb2_f698_a291_8dddcd328858_TB8633_11, which is choice C.

Find the Exact Value of Given That and