1.

Solve `tan 5 theta= cot 2 theta`.

Answer» `tan 5 theta=cot 2 theta=tan (pi/2-2 theta)`
`rArr 5 theta=n pi +pi/2-2 theta`
`rArr 7 theta=n pi +pi/2`
`rArr theta=(n pi)/7+pi/14, ((2n+1)pi)/14`, where `n in Z`, but `n ne 3, 10, 17, ...`
where `tan 5 theta` is not defined.


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