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Question

Question: Solution of the equation 3 sin<sup>–1</sup>\(\frac { \pi } { 3 }\)is-...

Solution of the equation 3 sin–1π3\frac { \pi } { 3 }is-

A

x = 3\sqrt { 3 }

B

x =13\frac { 1 } { \sqrt { 3 } }

C

x = 1

D

x = 0

Answer

x =13\frac { 1 } { \sqrt { 3 } }

Explanation

Solution

Given equation is 3.2 tan–1 x – 4.2 tan–1 x + 2.2 tan–1 x = π3\frac { \pi } { 3 } Ž 2 tan– 1 x : π3\frac { \pi } { 3 } Ž x = tan π6\frac { \pi } { 6 } = 13\frac { 1 } { \sqrt { 3 } }