Just need on this pre-calc math problem in webassign (homework), only need with a), then i'll learn how to do the rest

Step-by-step explanation:

Positive angles are measured counterclockwise from 0.  Negative angles are measured clockwise from 0.  So cos(-π/6) = √3/2.

Or, you can use angle reflection properties.

cos(-x) = cos x

cos(-π/6) = cos(π/6) = √3/2

Another way to look at it is to add 2π to the angle to turn it into a positive angle.

cos(-π/6) = cos(11π/6) = √3/2

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)