document.write( "Question 1052574: If sin theta = -2/3 and tan > 0, find the exact value of the cosine and cotangent. \n" ); document.write( "

Algebra.Com's Answer #667914 by Edwin McCravy(20056) $\"\"$ $\"About$

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sinθ= -2/3 and tanθ > 0
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document.write( "-2/3 is a negative number, so the sine is negative.\r\n" );
document.write( "tanθ > 0 says the tangent is positive.\r\n" );
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document.write( "That tells us that θ is in QIII\r\n" );
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document.write( "So we draw the picture of θ.  We know that \r\n" );
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document.write( "Since \r\n" );
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document.write( "We draw a right triangle in QIII with opposite side -2\r\n" );
document.write( "and hypotenuse +3.  We can use the Pythagorean theorem\r\n" );
document.write( "to find the adjacent side or x,\r\n" );
document.write( "adjacent = x = \r\n" );
document.write( "We take it negative because x, the adjacent side, goes to\r\n" );
document.write( "the LEFT of the origin.\r\n" );
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document.write( "Since ,\r\n" );
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document.write( "Since ,\r\n" );
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document.write( "Edwin

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