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If (mtan (alpha-theta))/(cos^2 theta)=(n...

If `(mtan (alpha-theta))/(cos^2 theta)=(n tan theta)/(cos^2 (alpha-theta)), " then " theta=1/2 [alpha - tan^(-1) { (n-m)/(n+m) tan alpha}]`. True or False?

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Knowledge Check

  • If m sin theta = n sin (theta +2 alpha) then tan (theta + alpha) is

    A
    `(m+n)/(m-n) tan alpha`
    B
    `(m+n)/(m-n) tan theta`
    C
    `(m+n)/(m-n) cot alpha`
    D
    `(m+n)/(m-n) cot theta`

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