1.

If x = a cos , y = b sin , then b2 x 2 + a2 y 2 – a 2b 2 is equal to​

Answer»

X = acos∅

y = bsin∅

→ b²x² + a²y² - a²b²

= b²a²cos²∅ + a²b²sin²∅ - a²b²

= a²b²(cos²∅ + sin²∅) - a²b²

= a²b² - a²b²

= 0

Identity USED :

cos²∅ + sin²∅ = 1



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