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Mathematics 13 Online
OpenStudy (anonymous):

I have a question, can someone answer me. Metal awarded.

OpenStudy (anonymous):

I have a problem and it ask for tan2theta, and theta is in the 1st quad, but when I work out the problem I get a negative result. Do that number automatically turns positive?

OpenStudy (anonymous):

does*

OpenStudy (anonymous):

do you know anything about tan, sin and cos?

OpenStudy (anonymous):

\[\tan^2 \theta\] \[0^\circ<\theta<90^\circ\] whats the question?

OpenStudy (anonymous):

or is it \[\tan (2\theta)\]?

OpenStudy (anonymous):

\[\tan2\Theta\]

OpenStudy (anonymous):

what is the original question?

OpenStudy (anonymous):

Given: sin =4/5 and cos x =-5/13 ; evaluate the following expression. (Theta: Quadrant I, x : Quadrant II.) tan 2 Theta a.) 8/3 b.) 24/7 c.) -24/7

OpenStudy (anonymous):

my outcome is -24/7 but theta is in the first quad and tan is positive in the first quad

OpenStudy (mertsj):

If theta is greater than 45 and in the first quadrant, then 2 theta is in the second quadrant where the tangent is negative.

OpenStudy (anonymous):

yes theta is in the first quadrant, but you're not finding tan(theta) you're finding tan(2*theta) and its possible for 2*theta to be in the second quadrant as mertsj just stated

OpenStudy (anonymous):

So my result stays at -24/5

OpenStudy (anonymous):

*-24/7 sorry

OpenStudy (anonymous):

assuming you didnt make any mistakes in your calculation, then that would be the answer note- i didnt actually do the problem

OpenStudy (anonymous):

okay Thank You both, now I can start my quiz with no problem. fingers crossed!

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