Solve on the interval [0, 2pi] 2 sec x+5 = 1

Move the 5 to the other side:

Divide both sides by 2:

Recall the definition:

Invert both sides

This is true when

If you need both angles to be in [0,2pi], you can recall

So, the solutions are

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi