InterviewSolution
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InterviewSolution
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Eliminate `theta` from the equation `a=x sec theta and b=y tan theta `. |
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Answer» We know that trigonmetric ratios are meaningful when they are associated with some `theta` , i.e., we cannot imagine any trigonometric ratio without `theta`. Eliminate `theta` means, eliminating the trigonometric ratios by using suitable identity. Given , `a=x sec theta and b=y tan theta ` `(a)/(x) =sec theta and (b)/(y)=tan theta ` We know that `, sec^(2) theta-tan^(2) theta=1`. So,`((a)/(x))^(2)=((b)/(y))^(2)=1` `(a^(2))/(x^(2))-(b^(2))/(y^(2))=1`. Hence, the required equation is `(a^(2))/(x^(2))-(b^(2))/(y^(2))=1`. |
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