What is the maximum of f(x)= sin(x)?

  1

Step-by-step explanation:

The sine function takes on values between -1 and +1, inclusive. So does the cosine function. It is a good idea to keep an image of the graph of the sine function in your mind (at least while you're taking math courses).

The maximum value of sin(x) is 1.

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)