document.write( "Question 884444: Use reference angles to find the exact value of the expression. Do not use a calculator: csc660 degrees\r
\n" ); document.write( "\n" ); document.write( "csc660= 1/sin 660\r
\n" ); document.write( "\n" ); document.write( "I can find the answer when using the calculator, but I am lost as to figuring out the next step when not using the calc.\r
\n" ); document.write( "\n" ); document.write( "Thank you in advance! \n" ); document.write( "
Algebra.Com's Answer #534305 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
csc660= 1/sin 660
\n" ); document.write( "note that 660 - 360 = 300
\n" ); document.write( "300 degrees is in the fourth quadrant and its reference angle is 360 - 300 = 60 degrees
\n" ); document.write( "note that the sine function in quadrant 4 is negative
\n" ); document.write( "csc660 = 1/sin 660 = 1 / -sin 60
\n" ); document.write( "now use a right triangle with hypotenuse 2, altitude 1 and base is square root of 3
\n" ); document.write( "60 degree angle is opposite the base
\n" ); document.write( "therefore the sin 60 = square root (3) / 2
\n" ); document.write( "now we can write
\n" ); document.write( "csc660 = 1 / (-square root (3) / 2) = 2 / -square root(3)
\n" ); document.write( "multiply the numerator and denominator by square root(3)
\n" ); document.write( "csc660 = (-2*square root(3)) / 3\r
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