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Question

If esinxesinx4=0,then,x=


A

0

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B

sin1{loge(25)}

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C

1

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D

none of these

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Solution

The correct option is D

none of these


Given equation:esinxesinx4=0Let:esinx=yNow,yy14=0y24y1=0y=4±16+42y=4±202y=4±52=2±5And,y=esin xesin x=2±5Taking log on both sides,we get:sin x=loge(2±5)sin x=sin x=loge(2±5)or sin x =loge(25)sin x=loge(4.24)or sin x=loge(0.24)loge(4.24)>1 and sin x cannot be greater than 1.in the other case, the log of negative term occurs, which is not defined.


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