# Science Of Sines

**Geometry**Level 3

Let \(a,b,c\) be the angles made by a line L (passing through the origin) with the \(x,y,z\) axes, respectively.

What is the value of \(\sin^{2} a + \sin^{2} b + \sin^{2} c\)?

**Hint**: Direction cosine.

Let \(a,b,c\) be the angles made by a line L (passing through the origin) with the \(x,y,z\) axes, respectively.

What is the value of \(\sin^{2} a + \sin^{2} b + \sin^{2} c\)?

**Hint**: Direction cosine.

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