Question

How do you find an inverse trig function without a calculator?
ex.sin(theta)=0.53623

Answer 1

arcsin(0,53623)=theta

Answer 2

....how do i do it without a calculator

Answer 3

with a decimal like that you cannot

Answer 4

What do you have against a calculator?

Answer 5

someone must have done it at some point i mean someone programmed the calc

Answer 6

We used to carry around books of tables. Then we had to interpolate between values in the table.

Answer 7

no they did not

Answer 8

So just be thankful you have a calculator and use it.

Answer 9

Who did not what?

Answer 10

when they programmed the calculator they did not find specific values,but rather run an algorithm

Answer 11

I dont want to rely on a calculator!

Answer 12

okay so whats the algorithm

Answer 13

then i guess you could use a power series expansion or something.

Answer 14

Well then measure all the sides of the triangles and do the division.

Answer 15

but i dont know the sides and whats a power series expansion and how can i bang one out

Answer 16

actually it is a rather interesting subject, how to find these numbers in the quickest way possible. but it is not something one would want to do with penicl and paper

Answer 17

can of worms anyone?

Answer 18

well i do want to do it with pen and paper and im ambitious!

Answer 19

Then you should make a right triangle whose side lengths you know and divide the side opposite by the hypotenuse to 5 decimal places to find the sin. Then you can do the cos. Then you can divide the sin by the cos to find the tangent. And so so until you have all 6 functions of that angle and then you can move on to the other acute angle of that triangle. When you get that one done, you can draw another one and start the fun process of dividing all over again.

Answer 20

i wont be satisfied till i know how to solve sin(theta)=(irrational number) without any given angles or sides