Find value of \(\displaystyle{\tan{{1}}}\times{\tan{{2}}}\times\cdots\times{\tan{{89}}}\). Please don't answer,

ds522stlk

ds522stlk

Answered question

2022-04-05

Find value of tan1×tan2××tan89. Please don't answer, but please help me to figure this out this as I am not aware of any method to calculate this. I tried it by finding value of tan(90), but it didn't work as tan(90) is not-defined.

Answer & Explanation

Wrastirtyzp9w

Wrastirtyzp9w

Beginner2022-04-06Added 10 answers

Hint: tan(x)×tan(90x)=sin(x)cos(x)×cos(x)sin(x)=1
Alan Bean

Alan Bean

Beginner2022-04-07Added 10 answers

tan89=cot(9089)=cot1=1tan1
so  tan1×tan89=1

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