1.

If `bgt1, sintgt0,costgt0andlog_b(sint)=x," then "log_b(cost)` is equal toA. `1/2log_b(1-b^(2x))`B. `2log(1-b^(x//2))`C. `log_bsqrt(1-b^(2x))`D. `sqrt(1-x^2)`

Answer» Correct Answer - A::C
`log_bsin_t=xorsint=b^x`
Let `log_b(cost)=y,then b^y=cost`
`or b^(2y)=cos^2t=1-sin^2t=1-b^(2x)`
`or 2y=log_b(1-b^(2x))`
`or y=1/3log_b(1-b^(2x))=log_bsqrt(1-b^(2x))`


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