document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1133868>Question 1133868</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Refer to the graph of y = sin x to find the exact values of x in the interval <BR>\n" );
document.write( "(−π/2, 3π/2) that satisfy the equation. (Enter your answers as a comma-separated list.)<BR>\n" );
document.write( "sin x = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #751125 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=751125\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sin(x) = 0 when x = 0 or 180 or 360 or -180 or -360, etc.\r<BR>\n" );
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document.write( "the general formula would be sin(x) = 0  when x = 0 plus or minus k * 180, where k = any positive integer.\r<BR>\n" );
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document.write( "when you're dealing with radians, the general formula would be sin(x) = 0 when x = 0 plus or minus k * pi.\r<BR>\n" );
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document.write( "that's because pi radians is equal to 180 degees.\r<BR>\n" );
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document.write( "the conversion factor is degrees = radians * 180 / pi and radians = degrees * pi / 180.\r<BR>\n" );
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document.write( "so 180 degrees * pi / 180 = pi radians and pi radians * 180 / pi = 180 degrees.\r<BR>\n" );
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document.write( "your interval of interest is -pi/2 radians to 3pi/2 radians.\r<BR>\n" );
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document.write( "-pi/2 radians * 180 / pi = -90 degrees.\r<BR>\n" );
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document.write( "3pi/2 radians * 180 / pi = 270 degrees.\r<BR>\n" );
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document.write( "your interval in radians is -pi/2 to 3pi/2 radians.\r<BR>\n" );
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document.write( "you interval in degrees is - 90 to 270 degrees.\r<BR>\n" );
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document.write( "in degrees, the general formula of sin(x) = 0 when x = 0 plus or minus 180 degrees will get you x = 0, 180, 360, 540, ... and x = 0, -180, -360, -540, ... .\r<BR>\n" );
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document.write( "0 and 180 are in the interval between -90 and 270 degrees, so they have to be your answer.\r<BR>\n" );
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document.write( "in radians, the general formula of sin(x) = 0 when x = 0 plus or minus pi radians will, get you x = 0, pi, 2pi, 3pi, .... and x = 0, -pi, -2pi, -3pi, ... .\r<BR>\n" );
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document.write( "in the interval between -pi/2 and 3pi/2, x = 0 and pi fits.\r<BR>\n" );
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document.write( "in degrees, x is equal to 0 or 180 degrees.<BR>\n" );
document.write( "in radians, x is equal to 0 or pi radians.\r<BR>\n" );
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document.write( "the first graph shows you this in degrees.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2019/020203.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "the second graph shows you this in radians.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2019/020204.jpg\" alt=\"$$$\" > </SPAN>\n" );
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