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Evaluate the following (1+tan theta +...

Evaluate the following
` (1+tan theta +sec theta ) ( 1+cos theta -cosec theta ) `

Text Solution

Verified by Experts

The correct Answer is:
` 2`
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Knowledge Check

  • (1+ tan theta + sec theta) (1+ cot theta- cosec theta) is equal to

    A
    0
    B
    1
    C
    2
    D
    `-1`

  • (1+tan theta+sec theta)(1+cot theta- cosec theta) is equal to

    A
    `0`
    B
    `1`
    C
    `2`
    D
    `-1`

  • (cot theta + "cosec" theta -1)/( cot theta - "cosec" theta +1) is

    A
    `cosec theta + cot theta `
    B
    `cosec theta - cot theta `
    C
    ` cot theta`
    D
    `cosec theta`

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    Given cot theta =(7)/(8) , then evaluate (i) ((1+sin theta )( 1-sin theta ))/( (1+cos theta )(1-cos theta )) " "(ii) ((1+sin theta ))/( cos theta )

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