Question

3) Determine o valor de X nas equações abaixo:
a) X= Sen 90° + Cos 150° - Sen 45 °
b) X= Cos 60° - Cos 135 ° + Sem 120°​

Answer 1

a)

$x = \sin(90) + \cos(150) - \sin(45)$

$x = 1 - \frac{ \sqrt{3} }{2} - \frac{ \sqrt{2} }{2}$

$x = 1 - \frac{ \sqrt{3} - \sqrt{2} }{2}$

b)

$x = \cos(60) - \cos(135) + \sin(120)$

$x = \frac{1}{2} - ( - \frac{ \sqrt{2} }{2} ) + \frac{ \sqrt{3} }{2}$

$x = \frac{1}{2} + \frac{ \sqrt{2} }{2} + \frac{ \sqrt{3} }{2}$

$x = \frac{1 + \sqrt{2} + \sqrt{3} }{2}$