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If `1+sinx+sin^2x+sin^3x+oo`is equal to `4+2sqrt(3),0ltxltpi,` then `x`is equal to

Answer» `1+sinx+sin^2x+sin^3x+...oo = 4+2sqrt3`
`=>1/(1-sinx) = 4+2sqrt3`
`=>1-sinx = 1/(4+2sqrt3)**(4-2sqrt3)/(4-2sqrt3)`
`=>1-sinx = (4-2sqrt3)/(16-12) = (4-2sqrt3)/4`
`=>1-sinx = 1-sqrt3/2`
`=>sinx = sqrt3/2`
`:. x = pi/3 or (2pi)/3.`


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