Home
Class 12
MATHS
Prove the following: 2\ sin^(-1)(3/5)=ta...

Prove the following: `2\ sin^(-1)(3/5)=tan^(-1)(24/7)`

Text Solution

AI Generated Solution

To prove that \( 2 \sin^{-1}\left(\frac{3}{5}\right) = \tan^{-1}\left(\frac{24}{7}\right) \), we will start by evaluating the left-hand side (LHS) and show that it equals the right-hand side (RHS). ### Step 1: Evaluate the LHS We have: \[ \text{LHS} = 2 \sin^{-1}\left(\frac{3}{5}\right) \] ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    RD SHARMA|Exercise Solved Examples And Exercises|1401 Videos

  • JEE MAINS PREVIOUS YEAR

    RD SHARMA|Exercise EXAMPLE|1 Videos

Similar Questions

Explore conceptually related problems

sin^(-1)(3/5)+tan^(-1)(1/7)=

Prove the following: 4tan^(-1)(1)/(5)-tan^(-1)(1)/(70)+tan^(-1)(1)/(99)=(pi)/(4)2tan^(-1)(1)/(5)+sec^(-1)(5sqrt(2))/(7)+2tan^(-1)(1)/(8)=(pi)/(4)

Knowledge Check

  • sin^(-1)(3/5)+tan^(-1)(1/7)=

    A
    `pi/4`
    B
    `pi/2`
    C
    `cos^(-1)"4/5`
    D
    `pi`

    • Similar Questions

    Explore conceptually related problems

    Prove the following: tan^(-1)(1/4)+tan^(-1)(2/9)=1/2cos^(-1)(3/5)=1/2sin^(-1)(4/5)

    Prove the following: tan^(-1)((1)/(4))+tan^(-1)((2)/(9))=(1)/(2)cos^(-1)((3)/(5))

    Prove the following : sin^(-1)4/5+2\ tan^(-1)1/3=pi/2

    Prove that : 2 sin^(-1)( 3/5) = tan^(-1)( 24/7)

    Prove the following 2 tan^(-1). 1/2 +tan^(-1) . 1/7 = tan^(-1). 31/17

    Prove that: ,,2sin^(-1)(3)/(5)=tan^(-1)(24)/(7)

    Prove the following: tan^(-1)1/7+2\ tan^(-1)1/3=pi/4

    Home
    Profile