# Thread: What does tan θ<0 mean?

1. ## What does tan θ<0 mean?

cosec θ= 1.115. Find sec θ while tan θ<0

sin θ=0.89686
θ =63.7484, 116.2515

sec θ= 2.261,-2.261
tan θ= 2.027, -2.027

So is the answer -2.261? What does the tan θ<0 mean?

2. ## Re: What does tan θ<0 mean?

Originally Posted by fuzzy
cosec θ= 1.115. Find sec θ while tan θ<0

sin θ=0.89686
θ =63.7484, 116.2515

sec θ= 2.261,-2.261
tan θ= 2.027, -2.027

So is the answer -2.261? What does the tan θ<0 mean?
Where is $\displaystyle \displaystyle \tan{\theta} < 0$?

3. ## Re: What does tan θ<0 mean?

It isn't stated

4. ## Re: What does tan θ<0 mean?

Originally Posted by fuzzy
It isn't stated
Think of the unit circle, for what values of $\displaystyle \displaystyle \theta$ is $\displaystyle \displaystyle \tan{\theta}$ negative?

5. ## Re: What does tan θ<0 mean?

Okay, so the θ will be in Q2 and Q4? So the θ I will be using is 116.2515 and 296.216?

6. ## Re: What does tan θ<0 mean?

Originally Posted by fuzzy
Okay, so the θ will be in Q2 and Q4? So the θ I will be using is 116.2515 and 296.216?
Almost, you also know that $\displaystyle \displaystyle \sin{\theta} > 0$. So where is $\displaystyle \displaystyle \sin{\theta} > 0$ AND $\displaystyle \displaystyle \tan{\theta} < 0$?

,

,

,

,

,

,

# tan0 meaning

Click on a term to search for related topics.