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If "tan" alpha= n tan beta and sin alpha...

If `"tan" alpha= n tan beta and sin alpha =m sin beta` prove that :
`cos^(2)alpha=(m^(2)-1)/(n^(2)-1)`

Answer

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Knowledge Check

  • If tan alpha = n tan beta and sin alpha = m sin beta , then cos^2 alpha is

    A
    `m^2/n^2`
    B
    `(m^2-1)/(n^2 -1)`
    C
    `(m^2 +1)/(n^2 +1)`
    D
    `m^2/(n^2 +1)`

  • If tan alpha=m/(m+1) and tan beta=1/(2m+1) , then alpha+beta is equal to :

    A
    `pi/3`
    B
    `pi/4`
    C
    zero
    D
    `pi/2`

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    If cos alpha+cos beta=0=sin alpha+sin beta. Prove that cos2 alpha+cos2 beta=-2cos(alpha+beta)

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