Question

Use the sum or different to find he exact value of each trigonometric function
a) tan(π)/(12)

Answer 1

tan(pi/12)=tan(pi/6 - pi/12)

Answer 2

a certain sense of deja vu

Answer 3

what answer?

Answer 4

tan pi/2=15 dgree

Answer 5

tan15=tan(45-30)

Answer 6

forget degrees, this has nothing to do with degrees

Answer 7

i started to answer in last post, but only got half way, when mandolino linked to previous post here
http://openstudy.com/users/mandolino#/users/mandolino/updates/4e86d5720b8b7ce881cf43a3
where it is worked out in all details

Answer 8

\[\tan 15=\frac{\tan45-\tan30}{1-\tan45\tan30}\]

Answer 9

"final answer" is
\[2-\sqrt{3}\] but he or she wrote all the steps

Answer 10

from here I have a trouble to solve

Answer 11

\[2-\sqrt{3}\]is correct I don't know how get that answer

Answer 12

you are confusing yourself by thinking you have to switch to degrees. but you have the formula backwards

Answer 13

hold on let me find the right post

Answer 14

thank you for the link I can find the link I post early

Answer 15

\[\tan(\frac{\pi}{3}- \frac{\pi}{4})=\frac{\tan(\frac{\pi}{3})-\tan(\frac{\pi}{4})}{1-\tan(\frac{\pi}{3})\tan(\frac{\pi}{4})}\]

Answer 16

so you need the following numbers to put in the formula
\[\tan(\frac{\pi}{3})=\sqrt{3}\] and
\[\tan(\frac{\pi}{4})=1\]

Answer 17

put those numbers directly into the "subtraction angle" formula to get
\[\tan(\frac{\pi}{12})=\frac{\sqrt{3}-1}{1-\sqrt{3}}\] and then rationalize the denominator to get your answer

Answer 18

ty

Answer 19

yw, hope it is clear