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Let theta = tan^(-1) ( tan . (5pi)/4) " ...

Let `theta = tan^(-1) ( tan . (5pi)/4) " and " phi = tan^(-1) ( - tan . (2pi)/3) `then

A

`theta gt phi`

B

`4 theta - 3 phi = 0`

C

`theta + phi = (7pi)/12`

D

None of these

Text Solution

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The correct Answer is:
B, C
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Knowledge Check

  • Let tan^(-1) ( tan. (5pi)/(4))=alpha, tan^(-1) (-tan. (2pi)/(3))=beta , then

    A
    `alpha gt beta`
    B
    `4 alpha- 3 beta = 0`
    C
    `alpha + beta = ( 7 pi)/(12)`
    D
    None of these

  • If tan^(-1)("tan"(5pi)/4)=alpha, tan^(-1)(-"tan"(2pi)/3)=beta , then

    A
    `4alpha-4beta=0`
    B
    `4alpha-3beta=0`
    C
    `alpha gt beta`
    D
    None of the above

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