document.write( "Question 648063: find other fundamental identities if tan theta=8/15 and sec theta <0 \n" ); document.write( "
Algebra.Com's Answer #406838 by lwsshak3(11628)\"\" \"About 
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find other fundamental identities if tan theta=8/15 and sec theta <0
\n" ); document.write( "tan>0 in quadrants I and III
\n" ); document.write( "sec<0 in quadrants III and IV
\n" ); document.write( "so, we are working with a reference angle and right triangle in quadrant III
\n" ); document.write( "opposite side=-8
\n" ); document.write( "adjacent side=-15
\n" ); document.write( "hypotenuse=√(8^2+15^2)=√(64+225)=√289=17
\n" ); document.write( "..
\n" ); document.write( "fundamental identities:
\n" ); document.write( "sin theta=-8/17
\n" ); document.write( "cos theta=-15/17
\n" ); document.write( "tan theta=8/15
\n" ); document.write( "csc theta=-17/8
\n" ); document.write( "sec theta=-17/15
\n" ); document.write( "cot theta=15/8
\n" ); document.write( "
\n" );