cos (90-b)sin(c-a) + sin(90+a)cos(b+c) - sin(90-c)cos(a+b)
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f to to do with the kids to the gym and then I will be in
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Step-by-step explanation
cos (90-b)sin(c-a) + sin(90+a)cos(b+c) - sin(90-c)cos(a+b
=sinB sin(c-a) + cosA cos(b+c) -cosC cos(a+b)
=sinB (sinCcosA-cosCsinA) + cosA (cosBcosC-sinBsinC) -cosC (cosAcosB-sinAsinB)
=sinBsinCcosA - sinAsinBcosC + cosAcosBcosC - sinBsinCcosA - cosAcosBcosC + sinAsinBcosC
=0 Zero. [they cancel each other]
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