document.write( "Question 1083721: Q1)if a sin²θ+b cos²θ =c
\n" ); document.write( "then prove that: tan θ=√c-b/a-c \n" ); document.write( "

Algebra.Com's Answer #697769 by Alan3354(69443) $\"\"$ $\"About$

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if a*sin^2 + b*cos^2 = c
\n" ); document.write( "then prove that: tan = sqrt((c-b)/(a-c))
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\n" ); document.write( "a*sin^2 + b*cos^2 = c
\n" ); document.write( "a*sin^2 + a*cos^2 + (b-a)*cos^2 = c
\n" ); document.write( "a + (b-a)*cos^2 = c
\n" ); document.write( "cos^2 = (a-c)/(a-b)
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\n" ); document.write( "a*sin^2 + b*cos^2 = c
\n" ); document.write( "a*sin^2 - b*sin^2 + b*cos^2 + b*sin^2 = c
\n" ); document.write( "sin^2*(a-b) + b = c
\n" ); document.write( "sin^2 = (c-b)/(a-b)
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\n" ); document.write( "tan^2 = sin^2/cos^2
\n" ); document.write( "tan^2 = ((c-b)/(a-b))/((a-c)/(a-b))
\n" ); document.write( "tan^2 = (c-b)/(a-c)
\n" ); document.write( "tan = $\"sqrt%28%28c-b%29%2F%28a-c%29%29\"$ \r
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