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Prove that sqrt( sec^(2) theta + "cos...

Prove that
` sqrt( sec^(2) theta + "cosec"^(2) theta )= tan theta + cot theta . `

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AI Generated Solution

To prove that \[ \sqrt{\sec^2 \theta + \csc^2 \theta} = \tan \theta + \cot \theta, \] we will start with the left-hand side (LHS) and manipulate it to show that it is equal to the right-hand side (RHS). ...
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Prove: sqrt(sec^(2)theta+cosec^(2)theta)=tan theta+cot theta .

Prove that sec^(2) theta + "cosec"^(2) theta = sec^(2) theta "cosec"^(2) theta

Knowledge Check

  • ( cosec theta - sin theta ) ( sec theta - cos theta ) ( tan theta + cot theta ) =

    A
    `sin theta cos theta`
    B
    `sec theta cosec theta`
    C
    1
    D
    none
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