Question

If tan a = 0.4750, find the value of a to the nearest minute

Answer 1

This is a example


cot theta=0.7659
tan theta=1/0.7659
=1.3057
tan theta=1.3057
Use mathematical tables(which i don't have) to find the value of theta.

Answer 2

I think you have to determine the arc tangent of a to find a.

Answer 3

So it would be tan-1(0.4750)
= .4434483364

Answer 4

I think the answer is 25.408 Degrees
then you have to convert the decimal portion to minutes of arc.

Answer 5

As @wolf1728 said, you have to calculate:\[a=\arctan(0.7659)\] Then you'll need to convert the answers, which will either be in degrees or radians, to degrees and minutes.

Answer 6

How do I do that

Answer 7

25.408 Degrees
multiply .408 times 60

Answer 8

So 25.408 is the nearest minute

Answer 9

No
.408 x 60 = 24.48 minutes

Answer 10

But how you got (.408) is it .4434483364

Answer 11

I didn't post .4434483364
Basically all I said was the arc tangent of .4750 is 25.408 Degrees

Answer 12

Yea but I'm asking where you got .4750 from

Answer 13

@wolf1728 got 25.408° which is the same as saying 25° +0.408°, now let's convert the 0.408° to minutes:\[\frac{ 0.408° }{ 1 }∙\frac{ 60 minutes }{ 1°}=answer\]Do you see now how to get minutes?

Answer 14

See how the degrees cancel and leave you with an answer in terms of minutes?

Answer 15

Oh now I get it