Home
Class 11
MATHS
If tan((alpha pi)/4)=cot((beta pi)/4) th...

If `tan((alpha pi)/4)=cot((beta pi)/4)` then

A

`alpha + beta =0`

B

`alpha + beta =2n`

C

`alpha + beta =2n+1`

D

`alpha + beta =2(2n+1), AA n in Z` is an integer

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|21 Videos
  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos

Similar Questions

Explore conceptually related problems

cot (- (15pi)/(4))

If tan 2alpha = cot 2beta , then sec(alpha + beta) =

Knowledge Check

  • If sin ((pi)/(4) cot theta)= cos ((pi)/(4) tan theta), then the general value of theta is-

    A
    `2pn pi +(pi)/(4)`
    B
    `n pi +(pi)/(4)`
    C
    `2n pi pm (pi)/(4)`
    D
    `2n pi -(pi)/(4)`
  • The numbers tan (-(11pi)/(6)), tan((21pi)/(4))and cot ((283pi)/(6)) are in-

    A
    H.P.
    B
    G.P.
    C
    A.P.
    D
    none of these
  • Similar Questions

    Explore conceptually related problems

    Prove that 2tan^(-1)[tan((alpha)/(2)) tan((pi)/(4)-(beta)/(2))]=tan^(-1)((sin alpha cos beta)/(cos alpha+sin beta))

    If cosx-sinalphacotbetasinx=cosa , then the value of tan(x/2) is (a) -tan(alpha/2)cot(beta/2) (b) tan(alpha/2)tan(beta/2) (c) -cot((alphabeta)/2)tan(beta/2) (d) cot(alpha/2)cot(beta/2)

    The value of tan(pi/3)+2tan((2pi)/3)+4cot((4pi)/3)+8tan((8pi)/3) is

    If 0 lt alpha lt beta lt (pi)/(2) , prove that, tan alpha-tan beta lt alpha-beta .

    If tan alpha = 7/5, tan beta=5/7 " then find the values of " tan (alpha + beta) " and " cot (alpha - beta)

    Prove that tan (alpha+ (pi)/(3)) tan (alpha-(pi)/(3))+ tan alpha tan (alpha+(pi)/(3)) +tan (alpha-(pi)/(3)) tan alpha+3=0