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Simplest form of (1+ tan^2A)/(1+cot^2'A)...

Simplest form of (1+ `tan^2`A)/(1+`cot^2'A) IS

Text Solution

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The correct Answer is:
`tan^(2)A`
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Knowledge Check

  • Simplest form of (1)/( 3 -(1)/(2)) is

    A
    `5/2`
    B
    `(1)/(10)`
    C
    `10`
    D
    `(2)/(5)`
  • (1+ tan ^(2) A)/( 1 + cot^(2) A) equals

    A
    `sec^(2) A `
    B
    ` - 1 `
    C
    ` cot^(2) A `
    D
    ` tan^(2) A `
  • What is the simplified value of (tan A)/(1 - cot A) + (cot A)/( 1 - tan A) - (2)/( sin 2 A) ?

    A
    `-1`
    B
    0
    C
    1
    D
    2
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