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Solve tan^(2) theta+cot^(2) theta=2....

Solve `tan^(2) theta+cot^(2) theta=2`.

Text Solution

Verified by Experts

The correct Answer is:
`theta= n pi pm pi/4, n in Z`
`(tan^(2) theta-1)^(2)=0`
or `tan^(2) theta=1`
`rArr theta = npi pm pi//4, n in Z`
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Knowledge Check

  • If tan theta+cot theta=3, then tan^(2) theta+cot^(2) theta= ____.

    A
    `4`
    B
    `7`
    C
    `6`
    D
    `9`

  • (1+tan^(2)theta)/(1+cot^(2)theta)=

    A
    `cos^(2)theta`
    B
    `tan^(2)theta`
    C
    `sin^(2)theta`
    D
    `cot^(2)theta`

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