If x - a sin- - b cos- y - -a cos- - b sin- then show that ax - by2 - bx - ay2 - a2 - b22-

Given, x = a sinθ + b cosθ, y = a cosθ + b sinθ Now, #160; (ax+by)=(a^2+b^2)sinθ .......(1).Again (bx ay)=(b^2+a^2)cosθ .......(2).Now, (ax+ ...

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Relation between Trigonometric Ratios

If x = a si...

Question

If $x = a sin θ + b cos θ, y = - a cos θ + b sin θ$ , then show that $(a x + b y)^{2} + (b x - a y)^{2} = (a^{2} + b^{2})^{2}$ .

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