Find sin 2x cos 2x and tan 2x if tan x 512 and x terminate
Find sin 2x, cos 2x, and tan 2x if tan x = - 5/12 and x terminates in quadrant II. sin 2x = cos 2x = tan 2x =
Solution
tanx = -5/12
x is in Q-II
sinx = 5/13 ; cosx = -12/13
i) sin2x = 2sinxcosx = 2(5/13)(-12/13) = - 120/169
ii) cos2x = 2cos^2x -1 = 2(12/13)^2 -1 = 59/169
iii) tan2x = sin2x/cos2x = -120/59
