Simplify completely: (tanx + cotx)/sec2x ?
1 Answer
Apr 14, 2018
This simplifies to
Explanation:
We start by rewriting in sine and cosine.
#=(tanx + cotx)cos(2x)#
#=(sinx/cosx + cosx/sinx)cos2x#
#=((sin^2x + cos^2x)/(cosxsinx))(cos(2x))#
#= 1/(cosxsinx)*cos(2x)#
Recall that
#= 1/(1/2sin(2x)) * cos(2x)#
#=(2cos(2x))/sin(2x)#
#= 2cot(2x)#
Hopefully this helps!