document.write( "Question 735099: If f(x)= cos(2x)-3sin(4x), find the exact value of f'(PIE/6) \r
\n" ); document.write( "\n" ); document.write( "The first step I thought of was cos(2A)= 1-Sin^2A because you'll need to make the cos into sin for the equation to work. Thanks.
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Algebra.Com's Answer #449449 by lwsshak3(11628)\"\" \"About 
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If f(x)= cos(2x)-3sin(4x), find the exact value of f'(PIE/6)
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\n" ); document.write( "For[0,2π]
\n" ); document.write( "f(x)= cos(2x)-3sin(4x)
\n" ); document.write( "f(π/6)=cos(2π/6)-3sin(4π/6)
\n" ); document.write( "..
\n" ); document.write( "cos(2π/6)=cos(π/3)=1/2
\n" ); document.write( "sin(4π/6)=sin(2π/3)=√3/2 (in Q2 where sin>0)
\n" ); document.write( "..
\n" ); document.write( "f(π/6)=cos(2π/6)-3sin(4π/6)
\n" ); document.write( "=cos(π/3)-3sin(2π/3)
\n" ); document.write( "=1/2-3√3/2
\n" ); document.write( "=(1-3√3)/2
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