document.write( "Question 1168720: Find the point on the terminal side of theta = - (3pi)/4 that has an x coordinate of -1 \n" ); document.write( "

Algebra.Com's Answer #793327 by Theo(13342) $\"\"$ $\"About$

You can put this solution on YOUR website!
use your calculator to find that tan(-3/4 * pi) = 1
\n" ); document.write( "x-coordinate of terminal point is -1.
\n" ); document.write( "since tangent is equal to opposite / adjacent, then tangent = y/x = 1
\n" ); document.write( "when x = -1, you get y/-1 = 1
\n" ); document.write( "solve for y to get:
\n" ); document.write( "y = 1*-1 = -1
\n" ); document.write( "the coordinate point is (-1,-1).
\n" ); document.write( "here's my picture of what it looks like.
\n" ); document.write( "

\n" ); document.write( "the angle, being negative, rotates about the graph in a clockwise direction.
\n" ); document.write( "you can see from the graph that the reference angle is pi/4.
\n" ); document.write( "that's because the angle from the right side x-axis to the left side x-axis is pi and (3/4 * pi) + (1/4) * pi = (4/4 * pi) = pi.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );