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If tan theta =4/5 and tan phi =5/4, then...

If `tan theta =4/5 and tan phi =5/4,` then the value of `(theta+phi)` is-

A

`pi/4`

B

`(3pi)/(4)`

C

`pi`

D

`pi/2`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • If (1+ tan theta) (1+ tan phi)=2, then the value of (theta+ phi) is

    A
    `30^(@)`
    B
    `45^(@)`
    C
    `75^(@)`
    D
    `60^(@)`

  • If theta and phi are positive acute angles satisfying sin theta =1/2 and cos phi =1/3, then the value of (theta + phi) lies in the interval-

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

  • If tan theta =-4/3, then the value of sin theta is -

    A
    `2/5`
    B
    `4/5 or , -4/5`
    C
    `4/5 but ne -4/5`
    D
    `-4/5 but ne 4/5`

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    If tan theta = 4/3 , find the value of (sin theta + cos theta) .

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