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If tan theta = (1)/(2) and tan phi = (1)...

If `tan theta = (1)/(2)` and `tan phi = (1)/(3)`, then the value of `theta + phi` is

A

`(pi)/(6)`

B

`pi`

C

0

D

`(pi)/(4)`

Text Solution

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The correct Answer is:
D
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IF tan^2 theta=2 tan^2 phi +1 then find the value of cos 2 theta+sin^2 phi .

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Knowledge Check

  • Given both theta and phi are acute angles and sin theta = (1)/(2), cos phi = (1)/(3) , then the value of theta + phi belongs to

    A
    `((pi)/(3),(pi)/(2)]`
    B
    `((pi)/(2),(2pi)/(3)]`
    C
    `((2pi)/(3),(5pi)/(6)]`
    D
    `((5pi)/(6),pi]`

  • If tan theta = 3//4 , then the value of tan 2 theta + sec 2 theta is

    A
    6
    B
    5
    C
    7
    D
    none

  • If 2sec2theta = tan phi + cot phi , then one of the values of theta + phi is:

    A
    `pi//2`
    B
    `pi//4`
    C
    `pi//3`
    D
    `pi//6`

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