If in - ABC- - A- sin-1 x - - B- sin-1 y and - C- sin-1 z - then x-1-y2-1-z2-y-1-x2-1-z2-z-1-x2-1-y2 is -

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Properties of Isosceles and Equilateral Triangles

If in Δ ABC...

Question

If in $Δ A B C, ∠ A = {sin}^{- 1} (x), ∠ B = {sin}^{- 1} (y) a n d ∠ C = {sin}^{- 1} (z)$ , then $x \sqrt{1 - y^{2}} \sqrt{1 - z^{2}} + y \sqrt{1 - x^{2}} \sqrt{1 - z^{2}} + z \sqrt{1 - x^{2}} \sqrt{1 - y^{2}}$ is :

equal to xyz

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> 1

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equal to

x^{2} y z

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none of these

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Similar questions

s i n^{- 1} x + s i n^{- 1} y + s i n^{- 1} z = π

x \sqrt{1 - x^{2}} + y \sqrt{1 - y^{2}} + z \sqrt{1 - z^{2}} = x y z

{sin}^{- 1} x + {sin}^{- 1} y + {sin}^{- 1} z = π

x \sqrt{1 - x^{2}} + y \sqrt{1 - y^{2}} + z \sqrt{1 - z^{2}} = 2 x y z

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x \sqrt{1 - x^{2}} + y \sqrt{1 - y^{2}} + z \sqrt{1 - z^{2}} = 2 x y z

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