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(tan 80^@ - tan 10^@)/(tan 70^@)=k , the...

`(tan 80^@ - tan 10^@)/(tan 70^@)=k `, then k=?

Text Solution

Verified by Experts

`tan(A-B)=(tanA-tanB)/(1+tanA*tanB)`
`A=80,B=10`
`tan70=(tan80-tan10)/(1+tan10tan80)`
`(tan80-tan10)/tan70=1+tan10tan(90-10)`
`=1+tan10*cot10`
`1+1=2`.
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