[tex] abc \: a = 90 > {ac}^{2} = {bc}^{2} - {ab}^{2} = {90}^{2} - {54}^{2} = 8100 - 2916 = \sqrt{5184} = 72 \: [/tex]
[tex] \sin(b) = \frac{ac}{bc} = \frac{72}{90} = \frac{36}{45} [/tex]
[tex] \sin(c) = \frac{ab}{bc} = \frac{54}{90} = \frac{27}{45} [/tex]
[tex] \cos(c) = \frac{ac}{ab} = \frac{72}{90} = \frac{36}{45} [/tex]
[tex] \tan(b) = \frac{ac}{ab} = \frac{72}{54} = \frac{36}{27} [/tex]
[tex] \cot(b) = \frac{ab}{ac} = \frac{54}{72} = \frac{27}{36} [/tex]
[tex] \tan(c) = \frac{ac}{ab} = \frac{72}{54} = \frac{36}{27} [/tex]
