document.write( "Question 1040321: Given csc theta = (2 sqr3)/(3) and -270 less than 0 less than 180
\n" ); document.write( "determine the exact values of theta\r
\n" ); document.write( "\n" ); document.write( "my work:\r
\n" ); document.write( "\n" ); document.write( "(2 sqr3)/3 = 1/sin theta
\n" ); document.write( "sin theta * (2sqr3)/3 =1
\n" ); document.write( "sin theta = 1/ (2sqr3/3)
\n" ); document.write( "sin theta = 3/ (2sqr3)
\n" ); document.write( "when I try to find the inverse of sin theta to find the angle, it gives me an error \n" ); document.write( "

Algebra.Com's Answer #655154 by MathTherapy(10552) $\"\"$ $\"About$

You can put this solution on YOUR website!
Given csc theta = (2 sqr3)/(3) and -270 less than 0 less than 180
\n" ); document.write( "determine the exact values of theta\r
\n" ); document.write( "\n" ); document.write( "my work:\r
\n" ); document.write( "\n" ); document.write( "(2 sqr3)/3 = 1/sin theta
\n" ); document.write( "sin theta * (2sqr3)/3 =1
\n" ); document.write( "sin theta = 1/ (2sqr3/3)
\n" ); document.write( "sin theta = 3/ (2sqr3)
\n" ); document.write( "when I try to find the inverse of sin theta to find the angle, it gives me an error
\n" ); document.write( "

You're on the right track, but need guidance.
\n" );
document.write( "You're correct in that: . However, you MUST RATIONALIZE the denominator. 
\n" );
document.write( "We then get:  =====>  =====>  =======>  ======> 
\n" );
document.write( "Now, this is the answer since the EXACT value is required, and since , 
\n" );
document.write( "then  is in the 2nd quadrant, where sin is positive (> 0) \n" );
document.write( "

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