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If A+B+C=180。, prove that sin^2[A]+sin^2[b]+sin^2[C]=2+2cosAcosBcosC
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\(a +b+c =\pi\) \( b = \pi -(a+c)\) \[sin^2a + sin^2(\pi -(a+c) ) + sin^2c\] \[sin(a+c) = sina*cosc +cosa*sinc\] \[sin^2(a+c) = sin^2a*cos^2c + cos^2a*sin^2c + 2sina*cosa*cosc*sinc\] This should Help
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