RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 4 of Exercise 4.1

Listen NCERT Audio Books to boost your productivity and retention power by 2X.

4

If sin–1x + sin–1y + sin–1z + sin–1t = 2π, then find the value of

x2 + y2 + z2 + t2.

Range of sin–1x is .

Give that sin–1x + sin–1y + sin–1z + sin–1t = 2π


Each of sin–1x, sin–1y, sin–1z, sin–1t takes value of .


So,


x = 1, y = 1, z = 1 and t = 1.


Hence,


= x2 + y2 + z2 + t2


= 1 + 1 + 1 + 1


= 4


Chapter Exercises

More Exercise Questions

2

2