Quick Math: Is tan(theta) + tan(theta) equal to tan(2theta)?

[ProBasket]

tan(theta) + tan(theta) is equal to tan(2theta) right? just want to make sure

 

[learningphysics]

tan(theta) + tan(theta) is equal to tan(2theta) right? just want to make sure

No. tan(theta) + tan(theta) is just 2tan(theta).

tan(2theta)=2tan(theta)/(1-tan^2(theta))

 

[vincentchan]

NO...
$$tan \theta + tan \theta = 2 tan \theta = tan 2 \theta ( 1-tan^2 \theta)$$

 

[ProBasket]

yea first i thought that tan(theta) + tan(theta) was 2tan(theta), but it didnt make sense for some reason cause it's 2*tan(theta), if you did a integral, can you take out the 2? to look like $$2\int tan(theta)$$

maybe I'm thinking too much, cause it's really really late right now, well I'm going to get some sleep. thanks for the help

 

[Nylex]

yea first i thought that tan(theta) + tan(theta) was 2tan(theta), but it didnt make sense for some reason cause it's 2*tan(theta)

Yes and what you have is 1*tan (theta) + 1*tan (theta).

if you did a integral, can you take out the 2? to look like $$2\int tan(theta)$$

An integral. Yes you can take the 2 out. You missed the d(theta) as well .