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Question Number 130846 by Eric002 last updated on 29/Jan/21

$$provethat$$$$3{sec}^{-1}\left(\sqrt{2}\right)-4{csc}^{-1}\left(\sqrt{2}\right)+5{cot}^{-1}\left(2\right)=1.533$$

Commented by MJS_new last updated on 30/Jan/21

$$\mathrm{we}\mathrm{cannot}\mathrm{prove}\mathrm{this}\mathrm{as}\mathrm{it}\mathrm{is}\mathrm{not}\mathrm{true}$$

Answered by benjo_mathlover last updated on 30/Jan/21

$${3\cos }^{-1}\left(\frac{1}{\sqrt{2}}\right)-{4\sin }^{-1}\left(\frac{1}{\sqrt{2}}\right)+{5\tan }^{-1}\left(\frac{1}{2}\right)=$$$$\frac{3\pi }{4}-\frac{4\pi }{4}+{5\tan }^{-1}\left(\frac{1}{2}\right)=-\frac{\pi }{4}+{5\tan }^{-1}\left(\frac{1}{2}\right)$$$${5\tan }^{-1}\left(\frac{1}{2}\right)$$$$2.318238$$$$-\frac{\pi }{4}+{5\tan }^{-1}\left(\frac{1}{2}\right)$$$$1.53284$$

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