[tex] \sin {}^{2} 45 + \cos {}^{2} 45 = 1[/tex]
[tex]aplicam \: formula \: \sin {}^{2} x + \cos {}^{2} x = 1[/tex]
[tex]tg45 = \frac{ \sin45 }{ \cos45 } [/tex]
[tex]tg45 = \frac{ \frac{ \sqrt{2} }{2} }{ \frac{ \sqrt{2} }{2} } = 1[/tex]
[tex]aplicam \: formula \: tgx = \frac{ \sin \: x }{ \cos \: x } [/tex]
[tex] \sin {}^{2}60 + \cos {}^{2} 60 = 1[/tex]
[tex]aplicam \: formula \: \sin {}^{2} {x + \cos }^{2} x = 1[/tex]
[tex]tg60 = \frac{ \sin60 }{ \cos60} [/tex]
[tex]tg60 = \frac{ \frac{ \sqrt{3} }{2} }{ \frac{1}{2} } [/tex]
[tex]tg60 = \frac{ \sqrt{3} }{2} \div \frac{1}{2} [/tex]
[tex]tg60 = \frac{ \sqrt{3} }{2} \times \frac{2}{1} = \sqrt{3} [/tex]
[tex]aplicam \: formula \: tgx = \frac{ \sin \: x }{ \cos \: x } [/tex]
