Find the value of tan1 tan2 tan3 tan 89
Asked by admin @ in Math viewed by 251 People
Prove that thee value of tan1.tan2.tan3...........tan89=1
Answered by admin @
tan 1 . tan 2 . tan 3 ... tan 87 . tan 88 . tan 89 = LHS
tan 1 . tan 2 . tan 3 ... tan (90 - 3 ) . tan ( 90 - 2 ) . tan ( 90 - 1)
tan 1 . tan 2 . tan 3 ... cot 3 . cot 2 . cot 1
tan 1 . cot 1 . tan 2 . cot 2 . tan 3 . cot 3 ... tan 89 . cot 89
1 x 1 x 1 x 1 x ... x 1
As 1ⁿ = 1 = RHS
Where n = any positive integer
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