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Question

Mathematics Question on Inverse Trigonometric Functions

If cos1x+cos1y+cos1z=3π cos^{-1}x+ cos^{-1}y+cos^{-1}z = 3 \pi then x(y+z)+y(x+z)+z(x+y)x(y+z) + y(x+z) + z(x+y)equals to

A

0

B

1

C

6

D

12

Answer

6

Explanation

Solution

The correct answer is Option (C) : 6