document.write( "Question 1087603: Find the exact value of tan 300 degrees. Use the sum or difference identity. \n" ); document.write( "
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Question:
\n" ); document.write( "Find the exact value of tan 300 degrees. Use the sum or difference identity.
\n" ); document.write( "
\n" ); document.write( "Solution:
\n" ); document.write( "300 degrees = 5π/6
\n" ); document.write( "=π-π/6
\n" ); document.write( "
\n" ); document.write( "and we know that tan(π)=0, and tan(π/6)=sqrt(3)/3
\n" ); document.write( "tan(300°)
\n" ); document.write( "=tan(π-π/6)
\n" ); document.write( "=(tan(π)-tan(π/6))/(1+tan(π)*tan(π/6))
\n" ); document.write( "=(0-sqrt(3)/3)/(1+0)
\n" ); document.write( "=-sqrt(3)/3 \n" ); document.write( "
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