## anonymous 3 years ago What does tan^2(theta) mean?

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1. anonymous

If$\tan \theta = 1/3$ what is theta

2. hartnn

what exactly u wanna know about tan^2 theta ?? $$\tan \theta =1/3 \implies \theta =arctan(1/3)$$ use calculator.

3. anonymous

tan theta means opposite/adjacent. So what does tan^2 theta mean? Square of opp/adj ?

4. zepdrix

Yes.

5. hartnn

yeas, tan^2 theta is just square of tan theta $$\large \tan^2 \theta = (\frac{opposite}{adjacent})^2$$

6. abb0t

Remember: SOH: $\sin = \frac{ opposite }{ hypotenuse }$ CAH $\cos = \frac{ adjacent }{ hypotenuse }$ TOA $\tan = \frac{ opposite }{ adjacent }$

7. Kainui

$\tan^2(\theta)=(\tan \theta)^2$

8. Kainui

The reason we do this is because generally you don't write parenthesis, so it allows you to quickly and easily distinguish between the slightly ambiguous notation. $\tan \theta^2$ and$\tan^2 \theta$

9. anonymous

if tan^2 = (opp/adj)^2 what does 2 tan mean?