Home
Class 12
MATHS
Show that sin^(-1)(3/5)-sin^(-1)(8/17)=c...

Show that `sin^(-1)(3/5)-sin^(-1)(8/17)=cos^(-1)(84/85)`

Text Solution

AI Generated Solution

To show that \( \sin^{-1}\left(\frac{3}{5}\right) - \sin^{-1}\left(\frac{8}{17}\right) = \cos^{-1}\left(\frac{84}{85}\right) \), we can follow these steps: ### Step 1: Define the angles Let: - \( x = \sin^{-1}\left(\frac{3}{5}\right) \) - \( y = \sin^{-1}\left(\frac{8}{17}\right) \) From these definitions, we have: ...
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT ENGLISH|Exercise Exercise 2.1|14 Videos

  • INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 7.4|25 Videos

  • LINEAR PROGRAMMING

    NCERT ENGLISH|Exercise EXERCISE 12.2|11 Videos

Similar Questions

Explore conceptually related problems

Prove that sin^(-1)(3/5)+cos^(-1)(15/17)=cos^(-1)(36/85)

Prove each of the following sin^(- 1)(3/5)+sin^(- 1)(8/17)=sin^(- 1)(77/85)

Prove that sin^(-1)(8/(17))+sin^(-1)(3/5)=cos^(-1)((36)/(85))

Prove that sin^(-1)(8/(17))+sin^(-1)(3/5)=cos^(-1)((36)/(85))

Prove that: sin^(-1)((63)/(65))=sin^(-1)(5/(13))+cos^(-1)(3/5)

Prove that: sin^(-1)((63)/(65))=sin^(-1)(5/(13))+cos^(-1)(3/5)

Prove that: sin^(-1)((63)/(65))=sin^(-1)(5/(13))+cos^(-1)(3/5)

Prove that sin^(- 1)(8/17)+sin^(- 1)(3/5)=sin^(- 1)(77/85)

Show that sin^-1 (3/5)+cos^-1(12/13)=cos^-1(33/65)=sin^-1(56/65)

Show that sin^(-1)(5/13)+cos^(-1)(3/5)=tan^(-1)(63/16) .