x=asin¢ and y=btan¢ prove that asquare/xsquare-bsquare/ysquare=1
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a^2÷x^2 -b^2÷y^2
=a^2/a^2.sin^2¢ - b^2/b^2.tan^2¢
=1/sin^2¢- 1/tan^2¢
=1/sin^2¢- cos^2¢/sin^2¢
=(1-cos^2¢)/sin^2¢
=sin^2¢/s¡n^2¢
=1
=a^2/a^2.sin^2¢ - b^2/b^2.tan^2¢
=1/sin^2¢- 1/tan^2¢
=1/sin^2¢- cos^2¢/sin^2¢
=(1-cos^2¢)/sin^2¢
=sin^2¢/s¡n^2¢
=1
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