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If 0^(@)ltalphalt90^(@), then solve th...

If `0^(@)ltalphalt90^(@)`, then solve the equation `(sinalpha)/(1-cosalpha)+(sinalpha)/(1+cosalpha)=4`.

Text Solution

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`(sinalpha)/(1-cosalpha)+(sinalpha)/(1+cosalpha)=4`
`rArr(sinalpha(1+cosalpha)+sinalpha(1-cosalpha))/((1-cosalpha)(1+cosalpha))=4`
`rArr(sinalpha+sinalphacosalpha+sinalpha=sinalphacosalpha)/(1-cos^(2)alpha)=4`
`rArr(2sinalpha)/(sin^(2)alpha)=4`
`rArr(2)/(sinalpha)=4`
`rArrsinalpha=(1)/(2)=sin30^(@)`
`rArralpha=30^(@)`
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