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Question

The value of sinAsinBcosA+cosB+cosAcosBsinA+sinB is....

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Solution

sinAsinBcosA+cosB+cosAcosBsinA+sinB
2cosA+B2sinAB22cos(A+B2)cos(AB2)+2sinA+B2sinCA22sin(A+B2)cos(AB2)
tan(AB2)+(tan(AB2))
=tan(AB2)tan(AB2)
=0.

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