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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