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Mathematics 12 Online
OpenStudy (anonymous):

Solve 0

OpenStudy (anonymous):

OpenStudy (anonymous):

\[\cos \theta=0\]

OpenStudy (anonymous):

I got \[\cos \theta=1\]

OpenStudy (anonymous):

-2 +(1/3)cos Θ = -5/3 (1/3) cos Θ = 1/3 cos Θ = 1 then you have to go to the unit circle and find Θ where the x-coordinate is 1.

OpenStudy (anonymous):

Thanks

OpenStudy (anonymous):

would it be 2pi? as a radical

OpenStudy (anonymous):

it would be 0 and 2pi

OpenStudy (anonymous):

it depends on your interval. I what you put above is right (both < signs) then there's no solution. If one of them is ≤, use that one

OpenStudy (anonymous):

0 ≤theta<2pi

OpenStudy (anonymous):

so it would be 0

OpenStudy (anonymous):

yes 0

OpenStudy (anonymous):

can i ask another question ? for another problem?

OpenStudy (anonymous):

sure

OpenStudy (anonymous):

sin(theta)=2

OpenStudy (anonymous):

and how do you know where to look at the x or y axis for the unit circle?

OpenStudy (anonymous):

based on which trig function you're working with. (x, y) = (cos Θ, sin Θ) so cos Θ is the x and sin Θ is the y.

OpenStudy (anonymous):

and tan?

OpenStudy (anonymous):

If you notice, the radius of the unit circle is 1. that's also the range of both cos Θ and sin Θ. Neither can be more than 1. sin Θ = 2 has no solution

OpenStudy (anonymous):

\[\tan\theta=\frac{ \sin \theta }{ \cos \theta }=\frac{ y }{ x }\]

OpenStudy (anonymous):

Thank you thats everything

OpenStudy (anonymous):

you're welcome

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