Question

Use the properties of inverse trig. functions to evaluate tan (arctan(0.31)). I used tan (inverse tan(0.31)) I didn't get the correct answer with my calculator. It seems that tan and the inverse...cancel each other. I could be wrong.

Answer 1

Yes you're right. If you need to evaluate tan(arctan(0.31)), the result is 0.31. That is because they are the inverse of each other.

To solve this with a calculator you would first evaluate arctan(0.31) which gives you

arctan(0.31) = 0.300606

And then evaluate that,

tan(0.300606) = 0.31

Answer 2

I am on a beginners level with the calculator...SO, do I hit tan with the little one raised....or dooooo I have to do something else...I have being reading to find the process...I will look at the book again.

Answer 3

That is arctan,\[\arctan = \tan^{-1}\]

Answer 4

I think I need to start thinking I understand..LOL...I am making this harder. THANKS :)

Answer 5

lol..

Answer 6

I had my mode in Radians. Also, My calc. rounded it to .32?

Answer 7

Yeah mine too, in rad. Did you input 0.300606?

Answer 8

Well, my calc. didn't give me that...weird.

Answer 9

Tried again...It works in radians.

Answer 10

Actually, for me I got 0.300606 using raidians not with degrees mode.

Answer 11

Yes, if you do arctan(0.31) = 0.300606 you will get that in rads. If then you do tan(0.300606)=0.31 in rads again.

Answer 12

Yes and it needs to be in radians...there's nothing about degrees in that problem...I see how I need to be consistent.

Answer 13

Yeah, whenever you get numbers in decimals like this, it's most likely rads. When you get big numbers like 60 or 120, then you're probably dealing with degs.

Answer 14

OK so for arcsin (sin(4pi/9)) I got 1.396263
It should be 1.48..not sure of my error.

Answer 15

your result should be 4pi/9, which is 1.39626.. you were right.

Answer 16

lol....I need coffee....that is right...so I totally need to remember RADIANS.

Answer 17

so would I convert 1.39626?

Answer 18

lol, coffee is good. What's ur next prob?

Answer 19

csc (pi/8)

Answer 20

Mine shows 2.61313, what does yours show?

Answer 21

1.167232