prove-that-3sec-1-2-4csc-1-2-5cot-1-2-1-533-

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

p r o v e t h a t

3 {s e c}^{- 1} (\sqrt{2}) - 4 {c s c}^{- 1} (\sqrt{2}) + 5 {c o t}^{- 1} (2) = 1.533

Commented by MJS_new last updated on 30/Jan/21

we cannot prove this as it is not true

Answered by benjo_mathlover last updated on 30/Jan/21

{3 \cos}^{- 1} (\frac{1}{\sqrt{2}}) - {4 \sin}^{- 1} (\frac{1}{\sqrt{2}}) + {5 \tan}^{- 1} (\frac{1}{2}) =

\frac{3 π}{4} - \frac{4 π}{4} + {5 \tan}^{- 1} (\frac{1}{2}) = - \frac{π}{4} + {5 \tan}^{- 1} (\frac{1}{2})

{5 \tan}^{- 1} (\frac{1}{2})

2.318238

- \frac{π}{4} + {5 \tan}^{- 1} (\frac{1}{2})

1.53284