Question

Ifx=b
Cas A-sinA
and y=a Cos A + b Sim A, then prove that x2+y2=a2+b2​

Answer 1

Answer:

Step-by-step explanation.....

Do as instructed in the image

Answer 2

LHS

X=bcosA-asinA

x^2=(bcosA-asinA)^2

=b^2cos^2A+a^2sin^2A-2abcosAsinA

y=acosA+bsinA

y^2=a^2cos^2A+b^2sin^2A+2abcosAsinA

x^2+y^2=a^2cos^2A+b^2cos^2A+a^2sin^2A+b^2sin^2A

=cos^2A(a^2+b^2)+sin^2A(a^2+b^2)

=(sin^2A+cos^2A)(a^2+b^2)

=a^2+b^2 (proved)

we know that

• sin^2A+cos^2A=1