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If sinA+cosB=a and sinB+cosA=b then sin(...

If `sinA+cosB=a` and `sinB+cosA=b` then `sin(A+B)=`

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If cosA+cosB=m and sinA+sinB=n then sin(A+B)=

If cosA+cosB=m and sinA+sinB=n then sin(A+B)=

Knowledge Check

  • If sinA+sinB=a and cosA+cosB=b,then cos(A+B)

    A
    `(a^(2)+b^(2))/(b^(2)-a^(2))`
    B
    `(2ab)/(a^(2)+b^(2))`
    C
    `(b^(2)-a^(2))/(a^(2)+b^(2))`
    D
    `(a^(2)-b^(2))/(a^(2)+b^(2))`

  • If sinA+sinB=l and cosA-cosA-cosB=m , then cos(A-B)=

    A
    `(l^(2)-m^(2))/(l^(2)+m^(2))`
    B
    `(l^(2)+m^(2))/(l^(2)-m^(2))`
    C
    `(2lm)/(l^(2)+m^(2))`
    D
    `(2lm)/(l^(2)-m^(2))`

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    If sinA+sinB=a and cosA+cosB=b, show that sin(A+B) = (2ab)/(b^2+a^2)

    If sinA+sinB=a and cosA+cosB=b,then cos(A+B)

    If sinA+sinB=a and cosA+cosB=b, show that cos(A+B) = (b^2-a^2)/(b^2+a^2)

    If sinA+sinB=a and cosA+cosB=b, show that tan(A+B) = (2ab)/(b^2-a^2)

    If A+B+C=pi , prove that : sinA cosB cosC +sinB cosC cosA + sinC cosA cosB = sinA sinB sinC .

    If A+B+C=pi , prove that : sinA cosB cosC +sinB cosC cosA + sinC cosA cosB = sinA sinB sinC .

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