document.write( "Question 1035837: Given that sin(x)=2/3 and pi/2 < x < pi find the values of the other five trigonometric functions of x \n" ); document.write( "
Algebra.Com's Answer #650778 by MathTherapy(10549)\"\" \"About 
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Given that sin(x)=2/3 and pi/2 < x < pi find the values of the other five trigonometric functions of x
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\"sin+%28x%29+=+2%2F3+=+O%2FH+=+y%2Fr\"
\n" ); document.write( "\"x%5E2+=+r%5E2+-+y%5E2\"
\n" ); document.write( "\"x%5E2+=+3%5E2+-+2%5E2\"
\n" ); document.write( "\"x%5E2+=+9+-+4\" ======> \"x+=+sqrt%285%29\"
\n" ); document.write( "\"sin+%28x%29+=+2%2F3\" ======> \"csc+%28x%29+=+3%2F2\"
\n" ); document.write( "\"cos+%28x%29+=+A%2FH+=+x%2Fr+=+-+sqrt%285%29%2F3\" ======> \"sec+%28x%29+=+-+3sqrt%285%29%2F5\" ------ cos (x) and sec (x) are < 0 in the 2nd quadrant
\n" ); document.write( "\"tan+%28x%29+=+O%2FA+=+y%2Fx+=+2%2F%28-+sqrt%285%29%29+=+-+2sqrt%285%29%2F5\" ======> \"cot+%28x%29+=+-+sqrt%285%29%2F2\" ------ tan (x) and cot (x) are < 0 in the 2nd quadrant \n" ); document.write( "
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