Write in sin, cosine, or tangent of an angle?

Question

#sin5xcosx-cos5xsinx#

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Answer 1 · 2018-03-04T22:59:23

Use sin difference identity
#sin(4x)#

#sin(theta-alpha)= sintheta*cosalpha-costheta*sinalpha#
So in this case
#sin(5x-x)= sin5x*cosx-cos5x*sinx#
#sin(4x)#