Question

find the exact value of cot(arctan(7/24))
I WILL MEDAL AND FAN

Answer 1

24/7

Answer 2

how did u get that?

Answer 3

I just plugged in to the calculator

Answer 4

Use the graphing calculator

Answer 5

lol u think u can help me out by not using a calculator.

Answer 6

nope

Answer 7

I might be able to do that

Answer 8

cot(arctan(7/24)) = 1/(tan(arctan(7/24))) = 1/(7/24) = 24/7

Answer 9

by definition, if:
\[\Large \theta = \arctan \left( {\frac{7}{{24}}} \right)\]
then:
\[\Large \tan \theta = \frac{7}{{24}}\]

Answer 10

that is what I did lol :-)

Answer 11

hmm

Answer 12

oh ok i get it now. lol i was just making it too complicated

Answer 13

ok! :)

Answer 14

Can you help me determine the algebraic expression for tan(arccos(x))?

Answer 15

we can make this reasoning:
if we have:
\[\Large \theta = \arccos x\]
then:
\[\Large \cos \theta = x\]