document.write( "Question 926729: cos θ =12/13, 270°<θ<360° find the exact value of each of the remaining trigonometric functions of θ \n" ); document.write( "

Algebra.Com's Answer #562507 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
270°<θ<360° means the angle is in the 4th quadrant
\n" ); document.write( "where the cos is positive
\n" ); document.write( "If I say cos = b/c and sin = a/c, I can also say:
\n" ); document.write( " $\"+b+=+12+\"$
\n" ); document.write( " $\"+c+=+13+\"$
\n" ); document.write( " $\"+a%5E2+=+c%5E2+-+b%5E2+\"$
\n" ); document.write( " $\"+a%5E2+=+13%5E2+-+12%5E2+\"$
\n" ); document.write( " $\"+a%5E2+=+169+-+144+\"$
\n" ); document.write( " $\"+a%5E2+=+25+\"$
\n" ); document.write( " $\"+a+=+-5+\"$ ( it's in the 4th quadrant )
\n" ); document.write( "-----------
\n" ); document.write( " $\"+sin%28+theta+%29+=+-5%2F13+\"$
\n" ); document.write( " $\"+tan%28+theta+%29+=+-5%2F12+\"$
\n" ); document.write( " $\"+cot%28+theta+%29+=+-12%2F5+\"$
\n" ); document.write( " $\"+sec%28+theta+%29+=+13%2F12+\"$
\n" ); document.write( " $\"+csc%28+theta+%29+=+-13%2F5+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "Draw the picture if that helps
\n" ); document.write( "actually, always draw the picture\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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