Math, asked by atikakhan19600, 15 days ago

if x = alpha cos theta, y=alpha ssin theta then x square. +y square =?​

Answers

Answered by Anonymous
0

Answer:

Given:

x =  \alpha  \cos∅ \\ y =  \alpha  \sin∅

Proving area:

 {x}^{2}  +  {y}^{2}  \\  =  { \alpha }^{2}  \cos^{2} ∅ +  { \alpha }^{2}  \sin^{2} ∅ \\  =  { \alpha }^{2} ( \sin^{2} ∅ +  \cos^{2} ∅) \\  =  { \alpha }^{2}  \times 1  \\ =  { \alpha }^{2}

As we know sin²∅+cos∅=1

So this is your answer.

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