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The number of ordered pairs (x,y) satisfying `x(sin^(2)x+(1)/x^(2))=2sinx sin^(2)y` where `x in (-pi,0)uu(0,pi)` and `yin[0,2pi]` is. |
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Answer» Correct Answer - 8 `x(sin^(2)x+(1)/(x^(2)))=2sinxsin^(2)y` `impliessin^(2)x+(1)/(x^(2))=2((sinx)/(x))sin^(2)y` `impliessin x = (1)/(x)" and" sin ^(2)y =1 {because sin^(2)x+(1)/(x^(2))ge2.(sinx)/(x)}` |
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