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If 0 lt theta lt pi//2, (tan theta +cot ...

If `0 lt theta lt pi//2, (tan theta +cot theta)^(2)-sec^(2)theta"cosec"^(2)theta` is equal to _______

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tan^(2)theta+cot^(2)theta+2=sec^(2)theta cosec^(2)theta

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Knowledge Check

  • (2+tan^2 theta+cot^2 theta)/(sec theta cosec theta) is equal to:

    A
    `sec theta cosec theta`
    B
    `cot theta`
    C
    `tan theta`
    D
    `cos theta sin theta`
  • If 0 lt theta lt (pi)/(2) , then (tan theta+sec theta-1)/(tan theta-sec theta+1) is equal to :

    A
    `1+sintheta+cos theta`
    B
    `(1+sin theta)/(cos theta)`
    C
    `(1-cos theta)/(sin theta)`
    D
    `tan theta-sec theta`
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