Find tan(30) (its a right triangle)

Use the 30-60-90 triangle.

Tan is opposite over adjacent.


Square roots cannot be on the bottom.


The bottom cancel out the square root bar.

Your answer is:


(It's best to memorize the 30-60-90 and the 45-45-90 triangles during trigonometry. It helps a lot.)

Hope this helps!

:)

Yeah me i need badly

Answer

1 number

explanation

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

 

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.