Question

If X sin^3 A + Y cos^3 A = sin A cos A and X sin A = Y cos A, prove that X^2 + Y^2 = 1​

Answer 1

$\sf{REFER\: THE \: ATTACHMENT}$

Answer 2

heya..!!

here is ua answer:

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Xsin³∅ + ycos³∅ = sin∅. cos∅

x.sin³∅ + cos²∅.(ycos∅) = sin∅.cos∅

use xsin∅= ycos∅ in above

xsin³∅ + cos²∅.xsin∅ = sin∅.cos∅

xsin∅( sin²∅ + cos²∅) = sin∅.cos∅

xsin∅ = sin∅.cos∅

x = cos∅

so, y = sin∅

now we know,

sin²∅ + cos²∅ = 1

put sin∅ = y

cos∅ = x

hence, x² + y² = 1

hope it helps..!!!♥