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If a = (b-c) "sec" theta, then prove tha...

If `a = (b-c) "sec" theta`, then prove that `tan theta = (2sqrt(bc))/(b-c) sin A/2`.

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If a= (b-c ) sec theta , prove that tan theta = (2 sqrt( bc ) )/( b-c) sin "" (A)/(2) .

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Knowledge Check

  • If a= ( b-c) sec theta " then " tan theta =

    A
    ` ( 2sqrt(bc))/( b-c) sin ""(A)/(2) `
    B
    ` ( 2sqrt(bc))/( b+c) sin ""(A)/(2) `
    C
    ` ( 2sqrt(bc))/( b+c) cot ""(A)/(2) `
    D
    ` ( 2sqrt(bc))/( b+c) tan ""(A)/(2) `

  • In Delta ABC, if c=(a-b) sec theta, then tan theta=

    A
    `(2sqrtbc)/(b+c)cos""A/2`
    B
    `(2sqrtca)/(c+a)cos""B/2`
    C
    `(2sqrtab)/(a-b)sin""C/2`
    D
    `(2sqrtbc)/(b-c)sin""A/2`

  • In DeltaABC if a=(b-c)Sec theta then (2sqrt(bc))/(b-c)"Sin"(A)/(2)=

    A
    `Cos theta`
    B
    `Sec theta`
    C
    `Tan theta`
    D
    `Cot theta`

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