document.write( "Question 938714: How do I find all values between 0 and 360 for the equation cscx= -2.833. Thank you. \n" ); document.write( "
Algebra.Com's Answer #571901 by Edwin McCravy(20066)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The other tutor's answer is wrong.  He was thinking of the secant, not the cosecant.\r\n" );
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\n" ); document.write( "How do I find all values between 0 and 360 for the equation cscx= -2.833. Thank you.
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document.write( "We know that the cosecant is the reciprocal of the sine, and since -2.833\r\n" );
document.write( "is negative, we know that the angle values are in the 3rd and 4th quadrants.\r\n" );
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document.write( "Now we find the reference angle.\r\n" );
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document.write( "Make sure the calculator is in degree mode and not radian mode.\r\n" );
document.write( "We use the absolute value 2.833, and convert this cosecant to a sine, \r\n" );
document.write( "by finding its reciprocal \"1%2F2.833\" or 0.352987038.\r\n" );
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document.write( "Then we use the inverse sine key, sin-1 to find the angle that\r\n" );
document.write( "has 0.352987038 for its sine.  We get 20.66985951°.\r\n" );
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document.write( "But now we must get the 3rd and 4th quadrant angles which have this for\r\n" );
document.write( "their reference angles.\r\n" );
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document.write( "For the angle in the 3rd quadrant we add 180°+20.66985951° = 200.66985951°\r\n" );
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document.write( "For the angle in the 4th quadrant we subtract 360°+20.66985951° = 339.3301405°. \r\n" );
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document.write( "The quick way with a TI-84:\r\n" );
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document.write( "Press 2ND\r\n" );
document.write( "Press SIN\r\n" );
document.write( "Type 2.833  \r\n" );
document.write( "Press x-1\r\n" );
document.write( "Press ENTER\r\n" );
document.write( "                Read 20.66985951\r\n" );
document.write( "Press STO\r\n" );
document.write( "Press the key that has \"X,T,\"theta\",n\" on it\r\n" );
document.write( "Press ENTER\r\n" );
document.write( "type 180+\r\n" );
document.write( "Press the key that has \"X,T,\"X,T,\"theta\",n\" on it\r\n" );
document.write( "Press ENTER\r\n" );
document.write( "               Read 200.6698595\r\n" );
document.write( "type 360-\r\n" );
document.write( "Press the key that has \"X,T,qn\" on it\r\n" );
document.write( "Press ENTER\r\n" );
document.write( "               Read 339.3301405  \r\n" );
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document.write( "Edwin
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