document.write( "Question 203931: could you guide me about this? I dont have any idea to solve this kind of exercises and I don't know what do I have to do.Thanks.
\n" ); document.write( "Use the fundamental identities to find all of the trigonometric ratios if the variable satisfies the given conditions.
\n" ); document.write( "a) sin x=12/13 and cos x<0
\n" ); document.write( "b)cos x =-4/3 , sinx>0
\n" ); document.write( "c)tan x = -24/7 , sinx>0
\n" ); document.write( "d)tan x = 4/3 , sinx>0
\n" ); document.write( "e)cot x= 4 , sinx>0
\n" ); document.write( "f)cos x=3/5\r
\n" ); document.write( "\n" ); document.write( "p.s: I've written all cause I've thought maybe there are different points.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #153866 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "a)  and \r\n" );
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document.write( "The sine is positive and the cosine is negative\r\n" );
document.write( "only in quadrant II\r\n" );
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document.write( "To find :\r\n" );
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document.write( " <-- fundamental identity to use\r\n" );
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document.write( "But we are given that \r\n" );
document.write( "so we choose the negative answer for ,\r\n" );
document.write( "therefore:\r\n" );
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document.write( "------------------\r\n" );
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document.write( "To find :\r\n" );
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document.write( "   <-- fundamental identity to use.\r\n" );
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document.write( "------------------\r\n" );
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document.write( "To find \r\n" );
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document.write( "   <--- fundamental identity to use\r\n" );
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document.write( "-------------------\r\n" );
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document.write( "To find \r\n" );
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document.write( "   <--- fundamental identity to use\r\n" );
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document.write( "b) , \r\n" );
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document.write( "Sorry this is a mistake because  and \r\n" );
document.write( "cosines are always between  and .\r\n" );
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document.write( "So if you didn't copy it wrong, then there\r\n" );
document.write( "is no solution!\r\n" );
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document.write( "c)  , \r\n" );
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document.write( "The tangent is negative and the sine is positive\r\n" );
document.write( "only in quadrant II\r\n" );
document.write( "\r\n" );
document.write( "To find :\r\n" );
document.write( "\r\n" );
document.write( " <-- fundamental identity to use\r\n" );
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document.write( "But since this is in Quadrant II, the secant, which\r\n" );
document.write( "is the reciprocal of the cosine, is negative, we choose \r\n" );
document.write( "the negative answer for , therefore:\r\n" );
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document.write( "------------------\r\n" );
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document.write( "To find :\r\n" );
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document.write( "   <-- fundamental identity to use.\r\n" );
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document.write( "\r\n" );
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document.write( "------------------\r\n" );
document.write( "To find :\r\n" );
document.write( "\r\n" );
document.write( " <-- fundamental identity to use\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
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document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "But we are given that \r\n" );
document.write( "so we choose the positive answer for ,\r\n" );
document.write( "therefore:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "-------------------\r\n" );
document.write( "\r\n" );
document.write( "To find \r\n" );
document.write( "\r\n" );
document.write( "   <--- fundamental identity to use\r\n" );
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document.write( "-------------------\r\n" );
document.write( "\r\n" );
document.write( "To find :\r\n" );
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document.write( "   <-- fundamental identity to use.\r\n" );
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document.write( "\r\n" );
document.write( "==================================================\r\n" );
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document.write( "d) , \r\n" );
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document.write( "The tangent is positive and the sine is positive\r\n" );
document.write( "only in quadrant I, so all trigonometric ratios are\r\n" );
document.write( "positive:\r\n" );
document.write( "\r\n" );
document.write( "To find :\r\n" );
document.write( "\r\n" );
document.write( " <-- fundamental identity to use\r\n" );
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document.write( "But since this is in Quadrant I, all trig rations are\r\n" );
document.write( "positive therefore:\r\n" );
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document.write( "------------------\r\n" );
document.write( "\r\n" );
document.write( "To find :\r\n" );
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document.write( "   <-- fundamental identity to use.\r\n" );
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document.write( "------------------\r\n" );
document.write( "To find :\r\n" );
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document.write( " <-- fundamental identity to use\r\n" );
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document.write( "\r\n" );
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document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "But we are given that \r\n" );
document.write( "so we choose the positive answer for ,\r\n" );
document.write( "therefore:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "-------------------\r\n" );
document.write( "\r\n" );
document.write( "To find \r\n" );
document.write( "\r\n" );
document.write( "   <--- fundamental identity to use\r\n" );
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document.write( "-------------------\r\n" );
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document.write( "To find :\r\n" );
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document.write( "   <-- fundamental identity to use.\r\n" );
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document.write( "-------------------------------\r\n" );
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document.write( "e)  , sinx>0\r\n" );
document.write( "\r\n" );
document.write( "The cotangent is positive and the sine is positive\r\n" );
document.write( "only in quadrant I, so all trigonometric ratios are\r\n" );
document.write( "positive:\r\n" );
document.write( "\r\n" );
document.write( "To find :\r\n" );
document.write( "\r\n" );
document.write( " <-- fundamental identity to use\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
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document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "But since this is in Quadrant I, all trig ratios are\r\n" );
document.write( "positive therefore:\r\n" );
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document.write( "------------------\r\n" );
document.write( "\r\n" );
document.write( "To find :\r\n" );
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document.write( "   <-- fundamental identity to use.\r\n" );
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document.write( "------------------\r\n" );
document.write( "To find :\r\n" );
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document.write( " <-- fundamental identity to use\r\n" );
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document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "But we are given that \r\n" );
document.write( "so we choose the positive answer for ,\r\n" );
document.write( "therefore:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "-------------------\r\n" );
document.write( "\r\n" );
document.write( "To find \r\n" );
document.write( "\r\n" );
document.write( "   <--- fundamental identity to use\r\n" );
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document.write( "\r\n" );
document.write( "-------------------\r\n" );
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document.write( "To find :\r\n" );
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document.write( "   <-- fundamental identity to use.\r\n" );
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document.write( "=====================================================\r\n" );
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document.write( "f)  \r\n" );
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document.write( "You didn't give enough information, as you need to be\r\n" );
document.write( "given that another trig ratio is >0 or <0.\r\n" );
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document.write( "Edwin

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