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Question

The number of solutions of the equation esinxesinx4=0, (e2.73) is

A
1
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B
2
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C
3
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D
no solution
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Solution

The correct option is D no solution
esinx1esinx4=0(esinx)24esinx+4=5(esinx)24esinx1=0esinx=4±202esinx=2±5

Now,
sinx[1,1]
esinx[e1,e1]2±5[e1,e1]

Hence, there does not exist any solution.

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