x/a cos theta + y/ b sin theta = 1 and x/a sin theta _ y/ b cos theta = 1 then prove that xsquare/ asquare + ysquare/ bsquare = 2
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According To Question ;
- and
- We need to Prove that
- Consider as Equation 1
- Consider as Equation 2
Now Square Equation 1 first and Equation 2 next on Both Sides
Add Equation 3 and Equation 4
Apply identity for expanding Equation 3, Where a = and b = and Apply identity for expanding Equation 4, Where a = and b =
When we expand Equation 3 and Equation 4 by identities, We get and
We know from Trigonometric Identities
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