Question

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

Answer 1

`(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^(@)`