Question

.if z = x + y. if we take x=-2,y =6 find z if we take x = 2,y= -6 find z​

Answer 1

Step-by-step explanation:

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Answer 2

Let sin–1x = α, sin–1y = β, sin–1z = γ.

Then x = sinα, y = sinβ, z = sinγ

=> sin–1x + sin–1y + sin–1z = π/2

=> sin–1x + sin–1y = (π/2) - sin–1z

=> α + β = (π/2) - γ

=> cos(α + β) = cos{(π/2) - γ}

=> cosα.cosβ - sinα.sinβ = sinγ

=> √(1-sin2α.√(1-sin2β) - sinα.sinβ = sinγ

=> √(1-x2)√(1-y2) - xy = z

=> √(1-x2)√(1-y2) = xy + z

=> (1-x2)√(1-y2) = (xy + z2)2

=> 1 – y2 – x2 + x2y2 = x2y2 + z2 + 2xyz

=> x2 + y2 + z2 + 2xyz = 1

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