Thread:

1. Point of intersection

What is the point of intersection between the curves y=sec²x and y=4?
I need it in order to find the area of the region bounded by the two curves.

Thanks.

2. Originally Posted by sun1
What is the point of intersection between the curves y=sec²x and y=4?
I need it in order to find the area of the region bounded by the two curves.

Thanks.
The y-values must be equal:

$\sec^2(x)=4$

$|\sec(x)|=2$

$\left|\dfrac1{\cos(x)}\right|=2$

$\cos(x) = -\dfrac12~\vee~\cos(x)=\dfrac12$

Can you take it from here?
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