Question

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$\bold{Question-}$

If x sin³Ø+ y cos³Ø=sinØcosØ and xsinØ=ycosØ, then find the value of x²+y².


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Answer 1

Step-by-step explanation:

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1 is the right answer...❤❤✌

Answer 2

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We need to use the given condition

but we are given that -

xsin³∅+ ycos³∅ = sin ∅cos∅

we can write it as

⇒ ( xsin∅ ) sin²∅ + ( ycos∅ ) cos ²∅ = sin∅ cos ∅

⇒ xsin∅ ( sin∅ ) ²+ ( xsin∅ ) ²cos∅ = sin∅cos∅

{ ∵ xsin∅ = ycos∅ }

⇒ xsin∅ [ sin∅² + cos∅ ²] = sin∅ cos∅

⇒ xsin∅ = sin∅cos∅

or x = cos∅

Now ,

xsin∅ = ycos∅

⇒ cos∅.sin∅ = ycos∅

⇒ y = sin∅

Hence x² + y² = cos² + sin² = 1