document.write( "Question 958720: let theta be an angle on quadrant 3 so cos theta=-12/13. find exact values of csc theta and tan theta \n" ); document.write( "

Algebra.Com's Answer #585916 by satyareddy22(84) $\"\"$ $\"About$

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From pythagoras theorem
\n" ); document.write( "(AC)^2=(AB)^2+(BC)^2
\n" ); document.write( "(13)^2=(AB)^2+(-12)^2
\n" ); document.write( "(AB)^2=(13)^2-(-12)^2 =169-144=25
\n" ); document.write( "(AB)^2=25 =>AB=SQRT(25)=5
\n" ); document.write( "AB=5
\n" ); document.write( "since theta is in 3rd quadrant
\n" ); document.write( "cosec theta =- 13/5
\n" ); document.write( "tan theta = -5/-12=5/12 \n" ); document.write( "

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