\tan 48 ^ { \circ } \tan 23 ^ { \circ } \tan 42 ^ { \circ } \tan 67 ^ – InterviewSolution

1.

\tan 48 ^ { \circ } \tan 23 ^ { \circ } \tan 42 ^ { \circ } \tan 67 ^ { \circ } = 1

Answer»

tan42=tan(90-48)=cot48 tan23=tan(90-67)=cot67 tan48tan23tan42tan67 = tan48cot67cot48cot67 = 1*1 = 1

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