Question #139917
Use the appropriate compound angle formula to create an equivalent expression
a) cos ( x+3pi over 2 )
b) sin ( pi + x )
a) cos ( x+3pi over 2 )
b) sin ( pi + x )
Expert's answer
a)cos(x+3π/2)
= cosx*cos3π/2 - sinx*sin3π/2
=cosx•0 - six•(-1)
=0 - (-sinx)
=sinx
b) sin(π+x)
= sinπ*cosx+cosπ*sinx
=0•cosx +( -1)•sinx
=0-sinx
=-sinx
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