sin(A+B)+sinA+sin(A-B) / cos(A+B)+cosA+cos(A-B) = tanA
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Step-by-step explanation:
sin(A+B)+sin(A-B)+SinA/cos(A+B)+cos(A-B)+cosA
=2sinAcosB+sinA/2cosAcosB+cosA
=sinA(2cosB+1)/cosA(2cosB+1)
=sinA/cosA
=tanA
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