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  • 09-03-2018
  • Mathematics
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if (1+sina)(1+sinb)(1+sinc)=(1-sina)(1-sinb)(1-sinc)=k then value of k=?
a. (cosacosbcosc)
b.(sinasinbsinc)
c. (3sinasinbsinc),

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Kalahira
Kalahira Kalahira
  • 17-03-2018
k = (1+sina)(1+sinb)(1+sinc) = (1-sina)(1-sinb)(1-sinc) Multiply both entities, k x k = (1+sina)(1+sinb)(1+sinc) x (1-sina)(1-sinb)(1-sinc) That gives k^2 = (1 - sin^2a)(1 - sin^2b)(1 - sin^2c) k^2 = (cos^2a) x (cos^2b) x (cos^2c) k = sqrt ((cos^2a) x (cos^2b) x (cos^2c)) k = cosacosbcosc option a is correct.
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