document.write( "Question 733738: I am trying to evaluate Trig Functions determined by a point in Quadrant 1. When the problem gives a graph that goes along with it, that tells me where the (x,y) point is, along where the ray (that will become the hypotenuse of the triangle) is, then I can figure it out just fine. My problem is when it gives me a a question without a graph. Like when it is simply asking me to find the six trigonometric functions for theta when all I have is: P(3,4) and no graph to go along with it. I know the x and y is the adjacent and opposite of the triangle, respectively, but I do not know how to tell which is which unless I am looking at a graph about it. So my question is how do I find out whether the x or the y is the adjacent or opposite without a graph to look at? \n" ); document.write( "
Algebra.Com's Answer #448604 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! My problem is when it gives me a a question without a graph. Like when it is simply asking me to find the six trigonometric functions for theta when all I have is: P(3,4) and no graph to go along with it. I know the x and y is the adjacent and opposite of the triangle, respectively, but I do not know how to tell which is which unless I am looking at a graph about it. So my question is how do I find out whether the x or the y is the adjacent or opposite without a graph to look at? \n" ); document.write( "---- \n" ); document.write( "plot the point (3,4) \n" ); document.write( "Draw a line segment from (0,0) to (3,4)---That is the hypotenuse. \n" ); document.write( "Draw a line to the x-axis at (3,0). \n" ); document.write( "--- \n" ); document.write( "The base is 3 ; the opposite is 4 ; the hypotenuse is sqrt(3^2+4^2) = 5 \n" ); document.write( "----------------------------- \n" ); document.write( "The angle is that made by the x axis and the hypotenuse. \n" ); document.write( "--------------------------------- \n" ); document.write( "sin = y/r = 4/5 \n" ); document.write( "cos = x/r = 3/5 \n" ); document.write( "tan = y/x = 4/3 \n" ); document.write( "----- \n" ); document.write( "csc = r/y = 5/4 \n" ); document.write( "sec = r/x = 5/3 \n" ); document.write( "cot = x/y = 3/4 \n" ); document.write( "================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================ \n" ); document.write( " |