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

 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 = Solutiontanx = -5/12 x is in Q-II sinx = 5/13 ; c

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