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If tantheta-cottheta=0andtheta is posit...

If `tantheta-cottheta=0andtheta` is positive acute angle , then the value of `(tan(theta+15^(@)))/(tan(theta-15^(@)))` is

A

3

B

`(1)/(sqrt(3))`

C

`(1)/(3)`

D

`sqrt(3)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • If tantheta=tan30^(@).tan60^(@)andtheta is an acute angle ,then 2theta is equal to

    A
    `30^(@)`
    B
    `45^(@)`
    C
    `90^(@)`
    D
    `0^(@)`
  • If theta is a positive acute angle and tan theta + cot theta = 2 , then the value of sec theta is

    A
    `(1)/( sqrt(2))`
    B
    `sqrt(2)`
    C
    `1`
    D
    `0`
  • Solution of the equation 3 tan (theta-15^@ =tan(theta+15^@ is

    A
    `theta=npi - pi/3`
    B
    `theta =n pi + pi/3`
    C
    `theta =npi - pi/4`
    D
    `theta =npi + pi/4`
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