document.write( "Question 1156809: if the terminal side of angle thetapasses through point (-3, -4), what is the value of sec theta? \n" ); document.write( "

Algebra.Com's Answer #779572 by Theo(13342) $\"\"$ $\"About$

You can put this solution on YOUR website!
the angle is in the third quadrant because the value of x is -3 and the value of y is -4.
\n" ); document.write( "the hypotenuse of the right triangle formed is equal to sqrt((-4)^2+(-3)^2) = sqrt(25) = 5.
\n" ); document.write( "the secant of an angle is equal 1 divided by the cosine of the angle.
\n" ); document.write( "the cosine of the angle formed is equal to the adjacent side (x-value) divided by the hypotenuse.
\n" ); document.write( "that becomes -3/5.
\n" ); document.write( "the secant is equal to 1 / the cosine.
\n" ); document.write( "this makes it equal to 1 / (-3/5) which is equal to 5 / -3 which is equal to -5/3.
\n" ); document.write( "that's your solution.
\n" ); document.write( " \n" ); document.write( "

\n" );