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- anonymous

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

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- 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?

- anonymous

does*

- anonymous

do you know anything about tan, sin and cos?

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- anonymous

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

- anonymous

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

- anonymous

\[\tan2\Theta\]

- anonymous

what is the original question?

- 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

- anonymous

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

- 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.

- 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

- anonymous

So my result stays at -24/5

- anonymous

*-24/7 sorry

- anonymous

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

- anonymous

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

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