Question

30. Prove that if x = a sinθ + b cosθ and y = acosθ – b sinθ, then x2 + y2 = a2 + b2

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Answer 1

Answer:

a cosθ - b sinθ = x and a sinθ + b cosθ = y R.H.S. = x2 + y2 = (a cosθ - b sinθ) 2 + (a sinθ + b cosθ)2 = a2cos2θ - 2ab cosθ ...

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Answer 2

Answer:

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