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. \n" );
document.write( "
Algebra.Com's Answer #449449 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! If f(x)= cos(2x)-3sin(4x), find the exact value of f'(PIE/6) \n" ); document.write( "*** \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 \n" ); document.write( " |