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