Book: RD Sharma - Mathematics (Volume 1)
Chapter: 4. Inverse Trigonometric Functions
Subject: Maths - Class 12th
Q. No. 3 of Very short answer
Listen NCERT Audio Books to boost your productivity and retention power by 2X.
3
Answer each of the following questions in one word or one sentence or as per exact requirement of the question:
If 
, then write the value f x + y + z.
Given sin-1 x + sin-1 y + sin-1 z = 3π/2
We know that maximum and minimum values of sin-1 x are π/2 and –π/2 respectively.
⇒ sin-1 x + sin-1 y + sin-1 z = π/2 + π/2 + π/2
⇒ sin-1 x = π/2, sin-1 y = π/2, sin-1 z = π/2
⇒ x = 1, y = 1, z = 1
⇒ x + y + z = 1 + 1 + 1 = 3
∴ x + y + z = 3
