document.write( "Question 802598: Hello, I was hoping I could ask for your help on one additional question from my ACT prep booklet worksheets. The question given is:\r
\n" ); document.write( "\n" ); document.write( "Let theta be an angle in standard position. If the point (-7,-24) is on the terminal side of theta, find the sin of theta and tan of theta. Express the answers in fraction form with simplified radical form.\r
\n" ); document.write( "\n" ); document.write( "Once again, if you could show me your answer and then the guide/steps of how you got that answer (so I can make sure I'm doing it right), I would appreciate it. Sincerely, Johnathan. \n" ); document.write( "

Algebra.Com's Answer #483935 by lwsshak3(11628) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let theta be an angle in standard position. If the point (-7,-24) is on the terminal side of theta, find the sin of theta and tan of theta. Express the answers in fraction form with simplified radical form.
\n" ); document.write( "***
\n" ); document.write( "use x for theta
\n" ); document.write( "reference angle x is in quadrant III where sin<0, cos<0, tan>0.
\n" ); document.write( "hypotenuse of reference right triangle=√(7^2+24^2)=√(49+576)=√625=25
\n" ); document.write( "cosx=adjacent side/hypotenuse=-7/25
\n" ); document.write( "sinx=opposite side/hypotenuse-24/25
\n" ); document.write( "tanx=sinx/cosx=-24/-7=24/7 \n" ); document.write( "

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