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Bread18
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Homework Statement
The curves y=cosx and y=tanx intersect at point P whose x coordinate is [itex]\alpha[/itex]
a) show the curves intersect at right angles at P.
b) show that sec^2[itex]\alpha[/itex] = (1 + [itex]\sqrt{5}[/itex])/2
Homework Equations
I think they're all given up there ^
The Attempt at a Solution
I managed to do part a pretty easily, but I get stuck on part b.
tan[itex]\alpha[/itex] = cos[itex]\alpha[/itex]
cos^2[itex]\alpha[/itex] = sin[itex]\alpha[/itex]
sin^2[itex]\alpha[/itex] + sin[itex]\alpha[/itex] - 1 = 0
I'm not sure how to do go on from there.
Thanks