InterviewSolution
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InterviewSolution
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If `sin^(-1)x+sin^(-1)y=pi/2,t h e n(1+x^4+y^4)/(x^2-x^2y^2+y^2)`is equal to1 (b)2 (c) `1/2`(d) none of these |
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Answer» `sin^(-1)x=pi/2-sin^(-1)y` `sin^(-1)x=cos^(-1)y` `sin^(-1)x=sin^(-1)sqrt(1-y^2)` `x=sqrt(1-y^2` `x^2=1-y^2` `x^2+y^2=1-(1)` `(1+x^4+y^4)/((x^2-x^2y^2)+y^2)=(1+(x^2+y^2)^2-2x^2y^2)/(1-x^2y^2)` `(1+(x^2+y^2)^2-2x^2y^2)/(1-x^2y^2)` `(22-2x^2y^2)/(1-x^2y^2)` `2(1-x^2y^2)/(1-x^2y^2)` `2` Option B is correct. |
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