document.write( "Question 863196: Use a sum or difference formula to determine the value of the trigonomic function\r
\n" ); document.write( "\n" ); document.write( "cot(-7π/12)
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Algebra.Com's Answer #520266 by lwsshak3(11628)\"\" \"About 
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Use a sum or difference formula to determine the value of the trigonomic function
\n" ); document.write( "cot(-7π/12)
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\n" ); document.write( "cos(-7π/12)=cos(7π/12)=cos(3π/12+4π/12)=cos(π/4+π/3)
\n" ); document.write( "Identity: cos(x+y)=cosxcosy-sinxsiny)
\n" ); document.write( "cosx=cos(π/4)=√2/2
\n" ); document.write( "cosy=cos(π/3)=1/2
\n" ); document.write( "sinx=sin(π/4)=√2/2
\n" ); document.write( "siny=sin(π/3)=√3/2
\n" ); document.write( "cos(x+y)=√2/2*1/2-√2/2*√3/2=√2/4-√6/4=(√2-√6)/4
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\n" ); document.write( "calculator check:
\n" ); document.write( "cos(-7π/12)≈-0.2588…
\n" ); document.write( "exact value=(√2-√6)/4≈-0.2588…
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