Home
Class 11
MATHS
i) If tan (A+B) = n tan (A-B), prove tha...

i) If tan (A+B) = n tan (A-B), prove that: `(n+1)/(n-1) = (sin2A)/(sin2B)`

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3E|19 Videos
  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3F|24 Videos
  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3C|18 Videos
  • STRAIGHT LINES

    NAGEEN PRAKASHAN|Exercise Exercise|206 Videos

Similar Questions

Explore conceptually related problems

If tan(A+B)=ntan(A_B) then prove that (n+1)/(n-1)=(sin2A)/(sin2B)

If tan(A+B)=3 tan A , prove that (a) sin(2A+B)=2sin B

Knowledge Check

  • If tan ( A+B) = 3 tan A , then ( sin 2 ( A+B) + sin 2A)/( sin 2B) is equal to

    A
    `(1)/( 3)`
    B
    `( 1)/( 2)`
    C
    2
    D
    3
  • Similar Questions

    Explore conceptually related problems

    If 2 tan A = 3 tan B then prove that sin ( A + B) = 5 sin ( A-B) .

    If tan(cot x)=cot(tan x), prove that :sin2x=(4)/((2n+1)pi)

    If tan(A+B)=3Tan(A-B) then show that (3+1)sin2B=(3-1)sin2A

    If2tan A=3tan B, then prove that sin(A+B)=5sin(A-B)

    Prove that: If tan A=x tan B, prove that (sin(A-B))/(sin(A+B))=(x-1)/(x+1)

    A+B=C and tan A=k tan B, then prove that sin(A-B)=(k-1)/(k+1)sin C

    If tan A=n tan B and sin A=m sin B, prove that cos^(2)A=(m^(2)-1)/(n^(2)-1)