Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = 5/13 , x in Quadrant I

Answer 1

cos2x = 1 - 2sin²x = 1 - 50/169 = 119/169

sin2x = 2sinxcosx = 2·5/13·√(1 - 25/169)= 10/13·12/13 = 120/169;

tan2x = (120/169)/(119/169) = 120/119