Math, asked by pav9ankulkrishiwal, 1 year ago

Find the value of tan 1 0 .tan 2 0 .tan 3 0 ..........tan 89 0

Answers

Answered by Anonymous
1
Tan (90-1)=cot(89) ....... Tan(89)*cot(89)=1 Similarly till tan(45)=1
Answered by Anonymous
8

Hey there !!


Answer: 1 .



Step-by-step explanation:


= tan 1 . tan 2 . tan 3 ... tan 44 . tan 45 . tan 46 ... tan 87 . tan 88 . tan 89  



= tan 1 . tan 2 . tan 3 ... tan 44 . tan 45 . tan( 90 - 44 ) ... tan (90 - 3 ) . tan ( 90 - 2 ) . tan ( 90 - 1) 



= tan 1 . tan 2  . tan 3 ...tan44 . tan 45 . cot 44 ... cot 3 . cot 2 . cot 1 



= tan 1 . cot 1 . tan 2 . cot 2 . tan 3 . cot 3 ... tan 44 . cot 44 . tan 45 ... tan 89 . cot 89 



= 1 x 1 x 1 x ... 1 x ... x 1 . [ tan 45 = 1 ] .



= 1 .



Hence, it is solved .



THANKS



#BeBrainly .


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