\frac \tan 85 ^ \circ - \tan 40 ^ \circ 1 %2B \tan 85 – InterviewSolution

1.

\frac \tan 85 ^ \circ - \tan 40 ^ \circ 1 %2B \tan 85 ^ \circ \tan 40 ^ \circ = 1

Answer»

tan(85°-40°)=tan45°=1

using identity tan(A-B)=(tanA - tanB)/(1+tanAtanB)

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