Troll trigo!

Geometry Level 3

Does the following identity hold true?

cos ⁡ − 1 x = tan ⁡ − 1 ( 1 − x 2 x ) \cos^{-1}x=\tan^{-1}\left(\frac{\sqrt{1-x^{2}}}{x}\right)

This is an entry in the Troll King Contest \text{This is an entry in the Troll King Contest}

Area 51 No Option 23 23 Yes

Omkar Kulkarni by Omkar Kulkarni , 22, India

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1 solution

Omkar Kulkarni
Mar 22, 2015

It don't hold true unless x ∈ ( 0 , 1 ) x\in(0,1)

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1 Helpful 0 Interesting 0 Brilliant 0 Confused

Area 51 was a better option.

Gautam Sharma - 6 years, 2 months ago

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I know, right? I like that option a lot.

Omkar Kulkarni - 6 years, 2 months ago

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