document.write( "Question 1106078: If tan θ = -4/3 and sin θ > 0, find the exact value of cos θ.\r
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Algebra.Com's Answer #721011 by ikleyn(52921) $\"\"$ $\"About$

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document.write( "You have  =  and  > 0.\r\n" );
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document.write( "It means that the angle  is in QII, second quadrant.\r\n" );
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document.write( "Further, the tangent is the ratio of two legs in an right angled triangle.\r\n" );
document.write( "In your case the legs are 4 and 3 units long.\r\n" );
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document.write( "Did you ever hear about (3,4,5) right angled triangle ?\r\n" );
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document.write( "Its hypotenuse is 5 units.   Every 4-grade student knows it.\r\n" );
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document.write( "Then  is , the ratio of the longer leg to the hypotenuse, \r\n" );
document.write( "and since the angle is in QII, the cosine is negative.  Which gives you the\r\n" );
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document.write( "Answer.   = .\r\n" );
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\n" ); document.write( "Do not highlight/underline each time that you have no idea how to do it.\r
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\n" ); document.write( "\n" ); document.write( "It only means that you are in wrong class.\r
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