LG 2-3 Inverse Trig Functions

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Inverse Trig Functions

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Presentation transcript:

LG 2-3 Inverse Trig Functions Quiz Wednesday

What is an inverse trig function? Evaluating inverse trig functions is the opposite method evaluating of the warm up Instead of telling me the coordinate for the angle, you will tell me the angle given a coordinate.

The inverse of a function can be found by reversing the order of each ordered pair in the given function.

You Try:

Ranges and Domains of Inverse Trig Functions I and IV I and II

Sometimes, you will encounter the composition of trig functions with inverse trig functions. The following are pretty straightforward compositions. Did you suspect the answer was going to be 120o? This problem behaved differently because 120o is outside the range of the arcsin. So use some caution when evaluating the composition of inverse trig functions.

How to check your answers… Use the “second” feature on your calculator 2nd SIN(-.5) = *your calc should be in degree mode or you will get a rounded radian answer For the secant, cosecant, or cotangent functions: 2nd SIN ( 1/ #) = For composition problems, you can enter them straight into your calc 2nd SIN (SIN (270o) =

Negative ratios for arccos generate angles in Quadrant __ Negative ratios for arcsin generate angles in Quadrant __ Negative ratios for arctan generate angles in Quadrant __ Find the exact value of each expression without using a calculator. Express your answer in radians.

Answers for problems 1 – 9.