Determine sin 2 theta cos 2 theta and tan 2 theta and the qu

Determine sin 2 theta, cos 2 theta, and tan 2 theta and the quadrant in which 2 theta lies, given the information below. tan theta = -5/12 and theta is in Quadrant II Choose the quadrant in which 2 theta is located. I IV

Solution

Solution:

tan= -5/12

= n-arctan(-5/12)

=n-0.394

since is lying in second quadrant therefore n=1

= -0.394

= 2.747

Now

2 = 5.495

hence

sin(2) = -0.709

cos(2)=0.705

tan(2)=-1.005

2 = 5.495

clearly it is lying in forth quadrant

3/2<2< 2

answer