RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 5 of Exercise 4.1

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5

If (sin–1x)2 + (sin–1y)2 + (sin–1z)2 = 3/4 π2. Find x2 + y2 + z2.

Range of sin–1x is .

Given that


Each of , and takes the value of .


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


Hence,


= x2 + y2 + z2


= 1 + 1 + 1


= 3.


Chapter Exercises

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