document.write( "Question 673626: what is the point (x,y) on the unit circle that corresponds to a real number 23pi/6 ? \n" ); document.write( "

Algebra.Com's Answer #418754 by lwsshak3(11628) $\"\"$ $\"About$

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what is the point (x,y) on the unit circle that corresponds to a real number 23pi/6 ?
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\n" ); document.write( "Standard position of 23π/6 is in quadrant IV (24π/6-π/6)
\n" ); document.write( "The reference angle becomes π/6 in quadrant IV where cos>0 and sin<0
\n" ); document.write( "The x-coordinate represents the cos function and y-coordinate represents the sin function
\n" ); document.write( "On the unit circle, y/1=-1/2 at π/6, so y=-1/2
\n" ); document.write( "Similarly, x/1=√3/2/1 at π/6, so x=√3/2
\n" ); document.write( "The point (x,y) on the unit circle that corresponds to a real number 23pi/6 is: (√3/2,-1/2)
\n" ); document.write( "Check:
\n" ); document.write( "let A=reference angle π/6 in quadrant IV
\n" ); document.write( "sin A=opp side/hypotenuse=y/1=-1/2/1=-1/2
\n" ); document.write( "cosA=adj side/hypotenuse=x/1=(√3/2)/1=√3/2 \n" ); document.write( "

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