Can anyone help with Inverse Tangents?

[FutureDoc2]

I was working on a problem in TBR physics and to find theta, I had to use the inverse tangent function. Being that calculators are not allowed during the examination, can anyone help me figure out how to do this without it?! Thanks in advance! Btw: I know SOH CAH TOA and I know how to reduce the fraction into simplest form, however, I do not know where to go from here, tan-1 (x/y)...

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[Chrome19]

I think the best way is to know the inverse of tan 45/90 and memorize the graphs of trigonometric functions.

 

[FutureDoc2]

I think the best way is to know the inverse of tan 45/90 and memorize the graphs of trigonometric functions.

Thanks for the reply and I will definitely do that!

 

[dmf2682]

I was working on a problem in TBR physics and to find theta, I had to use the inverse tangent function. Being that calculators are not allowed during the examination, can anyone help me figure out how to do this without it?! Thanks in advance! Btw: I know SOH CAH TOA and I know how to reduce the fraction into simplest form, however, I do not know where to go from here, tan-1 (x/y)...

another way may be to remember that tan = sin/cos. That identity might give you some room to figure it out.

 

[FutureDoc2]

another way may be to remember that tan = sin/cos. That identity might give you some room to figure it out.

I never thought of it like that! I will definitely try this out. Thanks a million!

 

[MrNeuro]

another way may be to remember that tan = sin/cos. That identity might give you some room to figure it out.

Exactly what I was gonna say. I think of all identities tan=sin/cos has the highest probability of use on the test. What section was the question from in TBR that required the use of inverse tangent?

 

[FutureDoc2]

Exactly what I was gonna say. I think of all identities tan=sin/cos has the highest probability of use on the test. What section was the question from in TBR that required the use of inverse tangent?

Hey, it was actually one of the in chapter problems that required me to use inverse tangent. I have the 2009 version, but its on page 14. Its the question about cartographers! Thanks everyone for all of your help!!!!

 

[PinknGreenMD]

I know that SOH, CAH, TOA.. and using this I labeled a Sin, CoS, TAN (horizontal) and 0,30,45,60,90 (vertical) table that I frequently recall.

Then under the Sin column i calculate and memorized all these values in this order sqrt0, sqrt1 etc through 4 divided by 2.. from wroking with these i know that the first one is 0/2 = 0 .. 1/2 = .5 .... 1.41/2 = .71 ... 1.73/2 = .86 and 2/2 = 1...

Since i know that Cos is opposite Sin then the opposite info goes under the COS column.. (basically flip the Sin Column )

Now for the TAN column i know how to derive TAN from Sin and Cos values. Basically Sin / Cos ..

It seems like a lot but its not. it only takes about 3-5 seconds to recall everything and derive an answer.

 

[FutureDoc2]

I know that SOH, CAH, TOA.. and using this I labeled a Sin, CoS, TAN (horizontal) and 0,30,45,60,90 (vertical) table that I frequently recall.

Then under the Sin column i calculate and memorized all these values in this order sqrt0, sqrt1 etc through 4 divided by 2.. from wroking with these i know that the first one is 0/2 = 0 .. 1/2 = .5 .... 1.41/2 = .71 ... 1.73/2 = .86 and 2/2 = 1...

Since i know that Cos is opposite Sin then the opposite info goes under the COS column.. (basically flip the Sin Column )

Now for the TAN column i know how to derive TAN from Sin and Cos values. Basically Sin / Cos ..

It seems like a lot but its not. it only takes about 3-5 seconds to recall everything and derive an answer.

Thanks for the info, I definitely appreciate it. Since this post, I have not missed a question on this!