Point of intersection

**sun1** · August 14th 2009, 10:50 AM

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.

**earboth** · August 14th 2009, 10:59 AM

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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