Home
Class 11
MATHS
If 0 lt A lt B lt (pi)/(4) and sin (A+B)...

If `0 lt A lt B lt (pi)/(4) and sin (A+B)=(24)/(25) and cos (A-B)= (4)/(5)`, then find the value of `tan 2A`.

Text Solution

Verified by Experts

The correct Answer is:
`(3)/(4)`
Promotional Banner

Topper's Solved these Questions

  • COMPOUND ANGLES

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|12 Videos
  • COMPOUND ANGLES

    AAKASH SERIES|Exercise EXERCISE - I|28 Videos
  • COMPOUND ANGLES

    AAKASH SERIES|Exercise EXERCISE - 2.1 ( VERY SHORT ANSWER QUESTIONS)|30 Videos
  • CHANGE OF AXES

    AAKASH SERIES|Exercise Practice Exercise|29 Videos
  • CONTINUITY

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|34 Videos

Similar Questions

Explore conceptually related problems

If 0 lt A lt B lt pi/4, cos ( A+B) =(11)/(61) and sin (A-B) =(24)/(25) "then" sin 2A +sin 2B

If A+B, A are acute angles such that sin (A+B)=(24)/(25) and tan A=(3)/(4) , then find the value of cos B .

If 0 lt A lt pi //4 and cos A = 4//5, then find the values of sin 2 A and cos2A

If cos 0 =(-3)/(5) and pi lt 0 lt (3pi)/(2) , find the value of tan theta //2

If 0 lt A, B lt 90^(@), cos A= (5)/(13) and sin B =(4)/(5) then find sin (A+B) .