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Mathematics 22 Online
OpenStudy (anonymous):

I need some serious help with a few problems..?

OpenStudy (anonymous):

@pitamar

OpenStudy (anonymous):

Well, I can try. what is it?

OpenStudy (anonymous):

given \[\tan (\theta)=-\frac{ 4 }{ 5 }\] and \[\cos (\theta) > 0, \] find the exact values of sin theta and sec theta

OpenStudy (anonymous):

I'm told to sketch the problem situation, label the sketch with the given information and determine needed information

OpenStudy (anonymous):

Ok, we know our \(\cos(\theta)\) is positive, right? but the \(\tan(\theta)\) is negative, so that means that \(\sin(\theta)\) For what \(\theta\) we get positive cos() and negative sin()?

OpenStudy (anonymous):

sec(theta)=1/cos(theta)

OpenStudy (anonymous):

tan (theta)=sin(theta)/cos(theta) theta = atan(-4/5)

OpenStudy (anonymous):

since cos (theta)> 0 then sin(theta) has to be sleek-feathered onetive

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