Question

if xsin³A+ ycos³A=sin Acos and zsinA = ycosA,prove that x²+y²=1​

Answer 1

Answer:

xsin^3 A+ycos^3 A=sinA cosA xsinA=ycosA......(1)

or xsin^2 A× sinA+ycos^3A=sinA cosA

or ycosA.sin^2 A +ycos^3A =sinA cosA

or ycos A (sin^2 A +cos^2 A)=sinA cosA

So y=sinA

So x=cosA(using (1) )

So x^2+y^2=sin^2 A+ cos^2 A=1

Hence proved

Step-by-step explanation:

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