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39 votes
39 votes

\boxed{\sf Trigonometry}

Solve for x


\\ \rm\rightarrowtail tan^(-1)x+2cot^(-1)x=(2\pi)/(3)


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User Fancyplants
by
2.8k points

1 Answer

16 votes
16 votes

Answer:

→x=√3

Explanation:


tan^(-1) x+2cot^(-1) x=(2\pi )/(3) \\\\tan^(-1) x+2((\pi )/(2)-tan^(-1) x)= (2\pi )/(3) \\\\-tan^(-1) x=(2\pi )/(3)-\pi \\\\-tan^(-1) x=-(\pi )/(3) \\\\tan^(-1) x=(\pi )/(3) \\\\x=tan(\pi )/(3) \\\\x=√(3)

User Discoveringmypath
by
3.2k points
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