Home
Class 12
MATHS
Find the value of sin^(-1)(sin.(5pi)/3)....

Find the value of `sin^(-1)(sin.(5pi)/3)`.

Text Solution

AI Generated Solution

To find the value of \( \sin^{-1}(\sin(5\pi/3)) \), we will follow these steps: ### Step 1: Identify the angle The angle \( 5\pi/3 \) is not in the principal range of the sine inverse function, which is \( [-\pi/2, \pi/2] \). Therefore, we need to find an equivalent angle that lies within this range. **Hint:** The sine function is periodic and has a specific symmetry that can help us find an equivalent angle. ### Step 2: Find the equivalent angle ...
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|21 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - A)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))|45 Videos
  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Try yourself|50 Videos
  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Section - j|3 Videos

Similar Questions

Explore conceptually related problems

Find the value of sin^(-1)(sin((2pi)/3))

Find the value of sin^(-1)(sin(3pi)/5) .

The value of sin^(-1)(sin((3pi)/(5)))

Find the value of sin^(-1) ( cos. ( 33pi)/5) .

sin^(-1)sin((3pi)/5)

Find the value of (i) sin. (5pi)/(3)

Find the value of sin (31pi)/3 .

Find the value of sin (31pi)/3 .

sin^(-1)(sin (3 pi)/(5))

Evaluate: sin^(-1)(sin((3pi)/5))