document.write( "Question 754020: What is the exact value of sin(75) degrees \n" ); document.write( "

Algebra.Com's Answer #458753 by lwsshak3(11628) $\"\"$ $\"About$

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What is the exact value of sin(75) degrees
\n" ); document.write( "sin75º=sin(30)º+45º)
\n" ); document.write( "=sin 30 cos 45+cos 30 sin 45
\n" ); document.write( "=1/2*√2/2+√3/2*√2/2
\n" ); document.write( "=√2/4+√6/4
\n" ); document.write( "=(√2+√6)/4
\n" ); document.write( "Check with calculator:
\n" ); document.write( "sin 75º≈0.9659
\n" ); document.write( "exact value=(√2+√6)/4≈0.9659 \n" ); document.write( "

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