9. Expand the following
I)sin (A+B-C)
ii) cos (A-B-C)
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Step-by-step explanation:
cos (A-B-C)
cos((a-b)-c)
=cos(a-b)cosc+sin(a-b)sinc
= (cos a cosb+Sina sinb)cosc +(sina cosb - cosa sinb)sinc
=cosa cosb cosc+Sina sinb cosc+sina cosb sinc- cosa sinb sinc
sin(a+b-c)
=Sin(a+b) cosc+cos(a+b) sinc
=Sina cosb cosc+cosa sinb cosc+ cosa cosb sinc -Sina sinb sinc
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