Question #40bb3

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Answer 1 · 2017-04-10T14:51:16

see below

Use the following Composite Argument Properties
#color(red)(cos(A-B)=cos A cos B+sinA sinB#
#color(red)(sin(A+B)=sinAcosB+cos A sin B#

Left Hand Side:

#color(green)(cos(pi-theta)+sin(pi/2+ theta)=color(blue)(cos picos theta+sin pi sin theta+sin (pi/2) cos theta+cos (pi/2)sin theta #

#color(blue)(=-1*cos theta+0*sin theta+1*cos theta+0*sin theta#

#color(blue)(=-cos theta+cos theta)#

#color(blue)(=0)#

#color(blue)( :.=# Right Hand Side