Solve on the interval [0,2pi] 3(sec x)^2 -4=0

Step-by-step explanation:

A trigonometric equation is given to us , and we need to find the solutions of the equation within the interval [ 0,2π ]

The given equation is ,

This can be written as ,

Add 4 to both sides of the equation ,

Divide both sides by 3 ,

Put squareroot on both sides ,

Simplify ,

Multiply numerator and denominator by √3 ,

Solve for x ,

Therefore all the possible solutions are ,

10.416 m/s

step-by-step explantion:

distance=100m

time= 9.6s

average speed=100/9.6

=10.416 m/s