The Inverse Sine, Cosine, And Tangent Functions Worksheet Template Page 2

Now that we have restricted the domains of sine, cosine, and tangent, we are ready to define their inverse functions.

cos(x) with its restricted domain

sin(x) with its restricted domain

tan(x) with its restricted domain

Notice that the RANGE of the inverse trig function is the same as the restricted DOMAIN of the original trig function.

FINDING THE EXACT VALUE OF INVERSE TRIGONOMETRIC FUNCTIONS

To find the answer to an inverse trig problem, you really just have to rearrange it. For instance, to find the solution to







sin

, the question you really ask yourself is this: Sine of what angle (where the angle has to be from either













quadrant _____ or ______ ) equals

? Since sine is negative for angles in quadrant ______, we know our angle has to

come from quadrant ______. So what is the answer? What is the angle in quadrant ______ whose sine equals

Answer: _____________

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