Question #40bb3

Question

1325 views around the world

You can reuse this answer
Creative Commons License

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