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If t a n A+cot A=4, then write the value...

If `t a n A+cot A=4,` then write the value of `t a n^4A+cot^4Adot`

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We have given, `tanA+cotA=4`
On squaring both sides we get,
`(tanA+cotA)^2=4^2`
`tan^2A+cot^2+2tanAcotA=16` ...
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