Question

If x = a sin 0, y = b cos o then prove that x^2/a^2 + y^2/b^2 =1​

Answer 1

Answer:

xcosθ−ysinθ=a......(1)

xsinθ+ycosθ=b.....(2)

(1)

2

+(2)

2

(xcosθ−ysinθ)

2

+(xsinθ+ycosθ)

2

=a

2

+b

2

x

2

cos

2

θ+y

2

sin2θ−2xysinθcosθ+x

2

sin

2

θ+y

2

cos

2

θ+2xycosθsinθ=a

2

+b

2

x

2

(cos

2

θ+sin

2

θ)+y

2

(sin

2

θ+cos

2

θ)=a

2

+b

2

x

2

+y

2

=a

2

+b

2

Step-by-step explanation:

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