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Find the value of log tan1^0logtan2^0log...

Find the value of log `tan1^0logtan2^0logtan89^0`

Text Solution

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`log tan 1^(@) log tan 2^(@)* * * log tan 89^(@)`
`" "=log tan 1^(@) log tan 2^(@)* * * log tan 45^(@) * * * log tan 89^(@)`
`" "= log tan 1^(@) log tan 2^(@) * * * (log 1) * * * log tan 89^(@)`
` " "=0 (as log 1 = 0)`
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