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tan ? = 1.2

 Jun 10, 2015

Best Answer 

 #5
avatar+33616 
+5

Hmm.  Well, I suppose you could use the series expansion for tan-1(1+x), where x would be 0.2 here.

 

tan-1(1+0.2) = pi/4 + 0.2/2 - 0.22/4 + 0.23/12 - ...  (the angle will be in radians)

                   ≈ pi/4 + 0.1 - 0.01 + 0.0007 - ...

                   ≈ 3.1416/4 + 0.0907

                   = 0.7854 + 0.0907

                   = 0.8761 radians

 

But why you would want to do this beats me!

.

 Jun 10, 2015
 #1
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0

how to do this?

 Jun 10, 2015
 #2
avatar+33616 
+5

To get tan-1(1.2)  use atan(1.2)  (press 2nd atan on the calculator).

 

$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}^{\!\!\mathtt{-1}}{\left({\mathtt{1.2}}\right)} = {\mathtt{50.194\: \!428\: \!907\: \!735^{\circ}}}$$

.

 Jun 10, 2015
 #3
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+5

thankyou :D

 Jun 10, 2015
 #4
avatar
0

But how to do without using the calculator?

 Jun 10, 2015
 #5
avatar+33616 
+5
Best Answer

Hmm.  Well, I suppose you could use the series expansion for tan-1(1+x), where x would be 0.2 here.

 

tan-1(1+0.2) = pi/4 + 0.2/2 - 0.22/4 + 0.23/12 - ...  (the angle will be in radians)

                   ≈ pi/4 + 0.1 - 0.01 + 0.0007 - ...

                   ≈ 3.1416/4 + 0.0907

                   = 0.7854 + 0.0907

                   = 0.8761 radians

 

But why you would want to do this beats me!

.

Alan Jun 10, 2015

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