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The value of x in `(0,(pi)/(2))` satisfying the equation sin x cos x `=(1)/(4)` are . . .A. `pi/6,pi/12`B. `pi/12,(5pi)/12`C. `pi/8,(3pi)/8`D. `pi/8,pi/4` |
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Answer» Correct Answer - B We have, sinxcosx`=1/4` `rArr2sinxcosx=1/2` `rArrsin2x=1/2` `rArr2x=sin^(-1)(1/2)=pi/6` `rArrx=pi/12` If `xin(0,pi/2),` then `x=pi/12,pi/2-pi/12=pi/12,(5pi)/12` |
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