2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Trigonometric Identities

JEE Main & Advanced Mathematics Trigonometric Identities Question Bank Mock Test - Trigonometric Functions

  • question_answer
    If \[\sin (y+z-x)\],\[\sin (z+x-y)\], \[\sin (x+y-z)\]are in A.P., then \[\tan x,\tan y,\tan z\]are in

    A) A.P.     

    B) G.P.

    C) H.P.                 

    D) None of these

    Correct Answer: A

    Solution :

    [a] Applying b-a=c-b for A.P., we get \[2\cos z\sin (x-y)=2cosxsin(y-z)\]  Dividing by 2 \[\cos x\cos y\cos z,\]etc., we get \[tan\text{ }x-\text{ }\text{ }tan\text{ }y=tan\text{ }y-tan\text{ }z\]


You need to login to perform this action.
You will be redirected in 3 sec spinner