Question

O valor da expressão sen 30° + cos 30° - cos 60°/tag60° é:

Answer 1

sen 30° + cos 30° - cos 60°/tg 60°

$\frac{ \cancel{\frac{1}{2}} + \frac{ \sqrt{3} }{2} - \cancel{\frac{1}{2}} }{ \sqrt{3} } = \frac{ \frac{ \sqrt{3} }{2} }{ \sqrt{3} } = \frac{ \cancel{\sqrt{3}} }{2 \cancel{ \sqrt{3}} } = \frac{1}{2}$

Answer 2

Olá!

$\ \ \ \ \ \ \ \ \ \ \left[\begin{array}{ccccc}30\°\end{array}\right] \left[\begin{array}{ccccc}45\°\end{array}\right]\left[\begin{array}{ccccc}60\°\end{array}\right] \end{array}\right] \\ \\sen:\ \ \ \ \ \ \frac{1}{2}\ \ \ \ \ \ \ \ \frac{\sqrt{2}}{2} \ \ \ \ \ \ \ \frac{ \sqrt{3} }{2} \\ \\cos:\ \ \ \ \ \frac{ \sqrt{3} }{2}\ \ \ \ \ \ \ \frac{\sqrt{2}}{2}\ \ \ \ \ \ \ \ \ \frac{1}{2}\\ \\tg:\ \ \ \ \ \ \ \frac{\sqrt{3}}{3}\ \ \ \ \ \ \ \ 1 \ \ \ \ \ \ \ \ \sqrt{3}$

$\dfrac{(1/2) + \frac{\sqrt{3}}{3} - (1/2)}{ \sqrt{3} }\\ \\ \\\dfrac{\frac{\sqrt{3}}{2}}{ \sqrt{3} }\\ \\ \\\ \frac{1}{2}$

Qualquer dúvida comente ;)
Bons estudos!