1.

if `(1+sinalpha)(1-sinbeta)(1-singamma)=(1-sinalpha)(gamma-sinbeta)(1-singamma)=?`A. `+-cosalphacosbetacosgamma`B. `+-sinalphasinbetasingamma`C. `+-sinalphaalphabetasecgamma`D. `+-sinalphasinbetacosgamma`

Answer» Correct Answer - a
`(1+sinalpha)(1-sinbeta)(1-siny)=x`
`therefore x x=(1+sinalpha)(1-sinalpha)(1+sinbeta)`
`(1-sinbeta)(1+sinv)(1-siny)`
`x^(2)rArr(1-sin^(2)alpha)(1-sin^(2)beta)(1-sin^(2)y)`
`x^(2)rArrcos^(2)alpha.cos^(2)beta.cos^(2)y`
`xrArr+-cos alpha.cos beta.cosy`


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