Answer:
Step-by-step explanation:
+ we have
[sin(x)]^2 + [cos(x)]^2 = 1
so [cos(x)]= 1- [sin(x)]^2 = 1- (1/2)^2 = 1- 1/4 = 3/4
Then cos(x) can take one of two values;
+ cos(x) =[tex]\frac{\sqrt{3} }{2}[/tex]
then tan(x)= sin(x)/cos(x) = (1/2)/ ([tex]\frac{\sqrt{3} }{2}[/tex]) = [tex]\frac{\sqrt{3} }{3}[/tex]
+ cos(x) = - [tex]\frac{\sqrt{3} }{2}[/tex]
then tan(x)= sin(x)/cos(x) = (1/2)/ (- [tex]\frac{\sqrt{3} }{2}[/tex]) = - [tex]\frac{\sqrt{3} }{3}[/tex]
Have a good day
