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Xsin³theta + ycos³theta = sintheta. costhetaxsintheta -ycostheta =0 prove x² + y2 = 1​

Answer»

ong>Answer:

If X SIN3|+ y cos3|=sin|cos| and xsin|=ycos|, PROVE x2+y2=1.

Answer:

Answer:

Here is ur answer dear:-

=> xsin³theta + ycos³theta= sintheta×costheta.

=> x.sin³theta + cos²theta.(ycostheta) = sintheta.costheta.

• [use xsintheta= ycostheta in above]

=> xsin³theta+ cos²theta× xsintheta= sintheta×costheta.

=> xsintheta( sin²theta + cos²theta) = sintheta×costheta.

=> xsintheta = sintheta×costheta.

=> x = costheta.

=> so, y = sintheta.

Hope it is correct

Step-by-step explanation:



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