Question

u and Identit
tan (1°) . tan(2).... tan (89) =

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Answer 1

Tan 1 . tan 2 .tan 3 . .......tan 88 . tan 89

=sin1/cos1 .sin 2/cos 2 . ...sin 45/cos 45 .....sin 88/cos 88 . sin 89/ cos 89

=sin(90-89)/cos 1 . sin(90-88)/cos 2...........sin(90-45)/cos 45.........sin(90-1)/cos89

=cos 89/cos1 .cos 88/cos 2......cos 45/cos 45 ..........cos 1/ cos 89

all the values will get cancelled......and the result will be 1

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