How do you simplify? (1-cos2h)*ctgh

Question

1815 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-26T06:46:11

#sin(2h)#

Recall that

#sin(h)=+-sqrt((1-cos(2h))/2)#

#2sin^2(h)=1-cos(2h)#

As well as

#cot(h)=cos(h)/sin(h)#

This turns our function into

#2sin^2(h)*cos(h)/sin(h) rarr 2sin^(cancel(2))(h)*cos(h)/(cancel(sin(h))#

Recall #2sin(h)cos(h)=sin(2h)#

This turns our original equation simply into #sin(2h)#