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https://www.mathxl.com/student/player Test aspx?testld-1518179958kcenterwin eyesaftomTestGencheck Math 1316 WM16 Quiz Chapter Five Test 22 of 33 Unanswered: 33 Time remaining. 01:16 Find the exact value of the expression. tan 160 tan 40 1 tan 160 tan 40p Submit Summary Previous Bookmark Neat

Solution

(tan 160-tan 40)/(1+tan 160 tan 40)

This is of the form (tan A-tan B)/(1+tan A tan B) which is equal to tan (A-B)

therefore (tan 160-tan40)/(1+ tan 160 tan 40) = tan(160-40) = tan 120=-sqrt3

Hence the correct option is B