Idle curiousity

**Nervous** · December 4th 2012, 07:38 AM

How do I evaluate a trig function like $sin(4)$ without a calculator? Assuming that, since there is no unit, it's 4 radians...

**Plato** · December 4th 2012, 07:46 AM

Originally Posted by Nervous

How do I evaluate a trig function like $sin(4)$ without a calculator? Assuming that, since there is no unit, it's 4 radians...

I would look it up in a trig table.

**Nervous** · December 6th 2012, 02:02 PM

How would I construct a trig table?

**skeeter** · December 6th 2012, 02:25 PM

Originally Posted by Nervous

How would I construct a trig table?

http://www.math.rutgers.edu/~cherlin...2000/hunt.html

**HallsofIvy** · December 6th 2012, 04:51 PM

Although it is NOT the way trig tables are constructed, the simplest thing to do is to use "MacLaurin" series for sin(x):
$sin(x)= x- \frac{x^3}{3!}+ \frac{x^5}{5!}- \frac{x^7}{7!}+ \cdot\cdot\cdot+ \frac{x^{2n+1}}{(2n+1)!}+ \cdot\cdot\cdot$

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