document.write( "Question 773116: Use the sum and difference identities to find the exact values of sine, cosine and tangent of the angle
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document.write( "165degrees=135degrees+30degrees \n" );
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Algebra.Com's Answer #471399 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Use the sum and difference identities to find the exact values of sine, cosine and tangent of the angle 165degrees=135degrees+30degrees\r \n" ); document.write( "\n" ); document.write( "sin(165º)=sin(135º+30º)=sin135º*cos30º+cos135º*sin30º=√2/2*√3/2-√2/2*1/2 \n" ); document.write( "=√6/4-√2/4=(√6-√2)/4 \n" ); document.write( ".. \n" ); document.write( "cos(165º)=cos(135º+30º)=cos135º*cos30º-sin135º*sin30º=-√2/2*√3/2-√2/2*1/2 \n" ); document.write( "=-√6/4-√2/4=(-√6-√2)/4=-(√6+√2)/4 \n" ); document.write( ".. \n" ); document.write( "tan(165º)=tan(135º+30º)=(tan135º+tan30º)/(1-tan135º*tan30º)=(-1+√3/3)/(1-(-1*√3/3) \n" ); document.write( "=(-1+√3/3)/(1+√3/3)=(-3+√3)/(3+√3) \n" ); document.write( " |