document.write( "Question 1127757: Find all six trigonometric functions of θ if the given point is on the terminal side of θ. (If an answer is undefined, enter UNDEFINED.)
\n" ); document.write( "(−1, −3) \n" ); document.write( "
Algebra.Com's Answer #744225 by HelloWOrld_iAmcoMing (1)\"\" \"About 
You can put this solution on YOUR website!
So, 1st of all, we need to find the hypotenuse (r) by Pythagorean theorem since we now have already have x and y as -1 and -3.
\n" ); document.write( " so we have: x^2 + y^2 = r^2
\n" ); document.write( " (-1)^2 + (-3)^2 = r^2
\n" ); document.write( " 1 + 9 = 10 = r^2
\n" ); document.write( " +√10 = r \r
\n" ); document.write( "\n" ); document.write( "Now, we have x=-1, y=-3, r= √10\r
\n" ); document.write( "\n" ); document.write( "=> sin(θ)= y/r = -3/√10 = -3√10/10
\n" ); document.write( " cos(θ)= x/r = -1/√10 = -1√10/10
\n" ); document.write( " tan(θ)= y/x = -3/-1 = 3\r
\n" ); document.write( "\n" ); document.write( " csc(θ)= r/y = -√10/3
\n" ); document.write( " sec(θ)= r/x = -√10
\n" ); document.write( " tan(θ)= x/y = -1/-3 = 1/3\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );