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`sin((1)/(2)cos^(-1).(4)/(5))` is equal toA. `-(1)/(sqrt(10))`B. `(1)/(sqrt(10))`C. `-(1)/(10)`D. `(1)/(10)` |
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Answer» Correct Answer - B `sin ((1)/(2)cos^(-1).(4)/(5))` Now ,put `(4)/(5)=cos 2theta` `therefore sin((1)/(2)xx2theta)=sintheta=sqrt((1-cos2theta)/(2))` `=sqrt((1-(4)/(5))/(2))=sqrt((1)/(5xx2))=(1)/(sqrt(10))`. |
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