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Solve: cot\ theta/2-cottheta=cosec\ thet...

Solve: `cot\ theta/2-cottheta=cosec\ theta/2`

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`cottheta/2-cottheta="cosec"theta/2`
`rArr (costheta/2)/(sintheta/2)-(costheta)/(sintheta)=1/(sin0/2)`
`rArr (sintheta.costheta/2-costheta.sintheta/2)/(sintheta/2sintheta)=1/(sin0/2)`
`rArr sin(theta-theta/2)=sintheta`
`rArr sintheta/2=2sintheta/2costheta/2`
`rArr sintheta/2(1-2costheta/2)=0`
`rArr sintheta/2=0` or `1-2costheta/2=0`
Now `sintheta/2=0`
`rArr 0/2=npi rArr 0=2npi` Ans.
and `1-2costheta/2=0` `rArr 2costheta/2=1`
`rArr costheta/2=1/2=costheta/3 rArr theta/2=2npi+-pi/3`
`rArr 0=4npi bot (2pi)/(3)`
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