Math, asked by sandhyapilla000, 9 months ago

9. Expand the following
I)sin (A+B-C)
ii) cos (A-B-C)

Answers

Answered by aksharamalu71

5

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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