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If cos e c\ theta+cottheta=m and cos e c...

If `cos e c\ theta+cottheta=m` and `cos e c\ theta-cottheta=n` , prove that `m n=1`

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If cos ec theta-sin theta=m and sec theta-cos theta=n prove that (m^(2)n)^((2)/(3))+(mn^(2))^((2)/(3))=1

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Knowledge Check

  • If cosec theta - cottheta = (1)/(3) , then cosec theta + cot theta =

    A
    1
    B
    2
    C
    3
    D
    4

  • If sin theta + costheta = m and sin theta - cos theta = n , then

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

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    If cos ec theta-sin theta=I and sec theta-cos theta-cos theta=m prove that I^(1)m^(2)(I^(2)+m^(2)+3)=1

    If sin theta + cos theta = m and sec theta + "cosec" theta = n, prove that n(m^(2)-1) = 2m.

    If a cos theta+b sin theta=m and a sin theta-b cos theta=n, prove that a^(2)+b^(2)=m^(2)+n^(2)

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