RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 3 of Very short answer

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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


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