Trigonometric Functions. Fundamental Trigonometric Identities.

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Presentation transcript:

Trigonometric Functions

Fundamental Trigonometric Identities

More on Derivatives Derivative of trigonometric functions

Inverse Trig Functions f a function that satisfies the vertical line test (f is 1- 1). The inverse function exists – Show graphs-

Choose part of the domain where each of the trig functions is 1-1 (and onto) to define inverse functions

Derivative of y=sin -1 (x)

Antiderivatives

In the next slides you will be presented (on the left) with the graph of the derivative function, and on the right some choices for the graph of the function (an anti-derivative function). Choose the graph corresponding to the function. – Give reason for your choice – For each of the graphs you did not choose give one reason why it was not chosen GIVEN THE GRAPH OF f’(x) CHOOSE THE GRAPH OF f (x)

GIVEN THE GRAPH OF f’(x) CONSTRUCT A GRAPH OF f (x) Reconstructing a function from f ’ Click on the link below to work on this activity. The graph in red is the derivative function of a function f(x). I will do the first one with your help. You then practice on one. Finally, we will see what group is the best. Total time: 10 minutes

General Antiderivatives of Basic Functions