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Aishwarya Das
Asked: 2022-11-04T06:01:27+05:30 In:

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

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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1 Answer

  1. 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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