Question

Does anyone have any advice for converting a number in tangent? Example, for arctan(1), its pi/4. What is it for arctan(1/2) ?or any other number?

Answer 1

for what angle x is tan x = 1/2
that angle is the answer to arctan(1/2)

Answer 2

if its a non standard angle, i just use a calculator or google lol

Answer 3

yes , but I want to indtroduce pi in the number:p like for arctan(1).

Answer 4

arctan (1/sqrt 3) = 30 degrees,
to convert degrees in to radians,
you multiply by \(\pi/180\)

so, 30 degrees = \(30\pi/180 =\pi/6 \)

Answer 5

sqrt?

Answer 6

\(sqrt = \sqrt {}\)

Answer 7

and how did you know that it was 30 degrees?

Answer 8

because 30 is a standard angle and i knew tan 30 = 1/ sqrt 3

Answer 9

or i can deduce it

tan 30 = sin 30/cos 30 = 1/2 / sqrt 3/2 = 1/ sqrt 3

Answer 10

Okay thank you :)

Answer 11

for all non-standard angles, use calculator :)
if your calculator is in radian mode, you will get answer in terms of pi, else if t is in degree mode, you will get answer in degrees and you need to convert it to radians as i did for 30 degrees

Answer 12

okay :)

Answer 13

but its like: If My calculator is in radian, when I do : arctan(1/2) , then I /180 and it givess me the answer with pi ?

Answer 14

arctan(1/2) = 0.4634 radians

\(= (0.4634/\pi) \pi ~ radians \)

Answer 15

= \(0.1475\pi^r\)

Answer 16

ohhhh okkkkk Now I understaand for real hihi :)

Answer 17

i am happy that you understood :)