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Precalculus 17 Online
OpenStudy (anonymous):

sec2 θ − 4 = 0 find all solutions

hartnn (hartnn):

convert sec to cos and use unit circle.

hartnn (hartnn):

you will get 4 angles, in range 0 to 2pi. then generalize.

OpenStudy (anonymous):

so 1/cos^2=4?

hartnn (hartnn):

yes, or cos x = \(\pm\) ??

OpenStudy (anonymous):

2

hartnn (hartnn):

nopes.

hartnn (hartnn):

\(cos^2x=1/4 \\ cos x=\pm1/2\)

hartnn (hartnn):

now find 4 angles , using unit circle.

OpenStudy (anonymous):

pi/3,2pi/3,4pi/3,5pi/3

hartnn (hartnn):

yes, now i think u can generalize it, right ?

OpenStudy (anonymous):

pi/3+2pik?

OpenStudy (anonymous):

and so on right?

hartnn (hartnn):

\(\pm\)instead of only + and for all 4 angles.

OpenStudy (anonymous):

ohh ok

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