SOLUTION: I cant seem to figure this problem out. Any help would be greatly appreciated. Ok here it is - Consider the angle in standard position whose measure is (theta) radians. The termin

Algebra ->  Trigonometry-basics -> SOLUTION: I cant seem to figure this problem out. Any help would be greatly appreciated. Ok here it is - Consider the angle in standard position whose measure is (theta) radians. The termin      Log On


   



Question 662515: I cant seem to figure this problem out. Any help would be greatly appreciated. Ok here it is -
Consider the angle in standard position whose measure is (theta) radians. The terminal side of this angle is in the third quadrant and lies on the line given by y=5x. Find sin(theta) and cos(theta)? Any Ideas? Thank you for your time.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The line +y+=+5x+ passes through the origin and
also passes through the 3rd quadrant. If I say this line
has a slope of +5+ and makes an angle +a+
and +tan%28+a+%29+=+5+
with the +x axis, then the rotation of the line is
+pi+%2B+a+=+theta+
+sin%28+theta+%29+=+-5+%2F+sqrt%28+26+%29+
+cos%28+theta+%29+=+-1+%2F+sqrt%28+26+%29+