Question

Evaluate, tan 17°  tan 32°  + tan 32°  tan 41°  + tan 41°  tan 17°  =?

A -1 Correct Answer Incorrect Answer
C 1 Correct Answer Incorrect Answer
D not define Correct Answer Incorrect Answer

Solution

We know that If A + B + C = 90°  or  π/2 Then tan A tan B + tan B tan C + tan C tan A = 1 = 17 + 32 + 41 = 90° Then, tan 17°  tan 32°   + tan 32°   tan 41°   + tan 41°   tan 17° = 1

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