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If sec theta-tantheta=P then obtain th...

If sec `theta-tantheta=P` then obtain the values of tan `theta` sec `theta` and sin `theta` in terms of P.

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The correct Answer is:
`:. sec theta =m (1 + P^(2))/(2P),tan theta = (1-P^(2))/(2P),sin theta = (1-P^(2))/(1+P^(2))`
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Knowledge Check

  • If sec theta + tan theta = p , then sin theta is

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

  • If sec theta + tan theta= p , then costheta is

    A
    `(p^2 + 1)/(p^2 -1)`
    B
    `(p^2 -1)/((p^2 + 1)^2)`
    C
    `(2p)/(p^2 + 1)`
    D
    `(4p^2)/((p^2 + 1)^2)`

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    if sec theta+tan theta=2 then find the the value of sec theta.

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