My kid brought some homework back and I sat down to help...... And got stuck *blush*
Well, his homework was easy, find the missing length or angle of a triangle etc. We finished that with no problems and I felt quite happy I seemed to of helped, but then he asked me about angles of a triangle -
Why are the angles always an exact figure, like 45 degrees or 61 degrees.
I should of just said, thats what the book says, but no, I went into explaining that the angles can have decimals and tried to explain about the Angle being built with Degrees and minutes / secs ... This sank in and then he said, -
What tangent should be used for a 32.47 degree angle ?
I grinned and opened the Trigonometric table page and found 32 degrees = 0.625
and 33 degrees = 0.649.. And said it lies within these too tangents.
But.... I couldn't explain what the exact tangent to use would be. I told him we'd revisit the problem and so here i am.... I've searched the net and havent found any such precise tangent tables or anything which will help me to understand and explain better the solution.
Sorry its a long one... Any help on this would be appreciated.
A scientific calculator could tell you.
The calculator in the 'accessories' bit of your computer has a scientific mode, or you could use Microsoft Excel and put
=tan(radians([angle])), where [angle] is the angle that you want the tangent of in degrees. That would tell you the value to at least 10 decimal places, I should think.
Why did the vector cross the road?
It wanted to be normal.