document.write( "Question 863135: How do I find the cos(5pi/12)?! The question says \"Use the sum or difference formula to determine the value of the trigonometric function\"\r
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Algebra.Com's Answer #520233 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! How do I find the cos(5pi/12)?! The question says \"Use the sum or difference formula to determine the value of the trigonometric function\" \n" ); document.write( "*** \n" ); document.write( "cos(5π/12)=cos(2π/12+3π/12)=cos(π/6+π/4) \n" ); document.write( "Identity: cos(x+y)=cosxcosy-sinxsiny) \n" ); document.write( "cosx=cos(π/6)=√3/2 \n" ); document.write( "cosy=cos(π/4)=√2/2 \n" ); document.write( "sinx=sin(π/6)=1/2 \n" ); document.write( "siny=sin(π/4)=√2/2 \n" ); document.write( "cos(x+y)=√3/2*√2/2-1/2*√2/2=√6/4-√2/4=(√6-√2)/4 \n" ); document.write( "... \n" ); document.write( "calculator check: \n" ); document.write( "cos(5π/12)≈0.2588… \n" ); document.write( "exact value=(√6-√2)/4≈0.2588… \n" ); document.write( " |