OK, so tell me honestly, without reference, "What is the sine of forty five degrees?" Exactly. I.e. not as an approximate decimal. Do you know it? I hope so, considering your aggressive statement.
BTW, I have posed this question before on this forum, as I have settled on it as a shibboleth to determine the members of the mathematical tribe ... all in good humor, of course.
The sign of 45 degrees is Acquarius.
Did I win anything?
Sorry. I only have it memorized to 3 decimal places.
Quick: If the machinists asks to cut another 0.05 mm off of the flange face, how deep does he need to move the machine to make the old gouge shallow enough so a flexatallic gasket doesn’t leak at 1150 degrees steam at 2600 psig?
If the opposite side of the valve was trimmed -0.25 mm, how much shorter is the total valve, given a tolerance of +/- 0.002 total length?
What day of the year is it in a leap year given a decimal date of 2016.3452, and - more important - what is wrong with the following data?
2016.3370 0.5212067 7.1329651 6.6117582
2016.3397 -0.2191148 6.4946074 6.7137222
2016.3424 -2.1396804 4.6884451 6.8281255
2016.3452 -2.2308333 4.6884198 6.9192529
2016.3479 -2.3286991 4.6884198 7.0171189
2016.3507 -2.4274514 4.6884198 7.1158710
2016.3534 -2.5246320 4.6884198 7.2130518
2016.3562 -2.6070564 4.6884198 7.2954764
2016.3589 -2.7122476 4.6884198 7.4006672
2016.3617 -2.8177767 4.6884198 7.5061965
2016.3644 -2.9142113 4.6884198 7.6026311
2016.3671 -3.0063515 4.6884198 7.6947713
2016.3699 -3.0774925 4.6884198 7.7659125
2016.3726 -3.1732161 4.6884198 7.8616357
2016.3754 -3.2892423 4.6884198 7.9776621
2016.3781 -3.3878472 4.6884198 8.0762672
Come on. Square roots and theoretical math definitions of geometry don’t impress me.
“I have settled on it as a shibboleth to determine the members of the mathematical tribe”
I hope you aren’t saying that if you don’t know trigonometry you don’t need to know algebra.
I look at it this way: without the ability to frame problems that can be solved algebraically, you are doomed to the lowest rungs of employment, with a high degree of certainty.
Kids do not understand what Wayne state is doing to them. In the short term, they think it’s great. (Party on, garth) In the long term, they are drone labor, for the most part.
Sad for kids for whom basic math will remain a mystery.
There are certainly many mathematical factoids I’ve forgotten in the years since I took calculus and trig. As a computer programmer I sirens far more time dealing with discrete math than continuous. But sin(PI/4) = 1/sqrt(2) isn’t one of them.
Draw a right-angled triangle with sides of 1 and a
hypotenuse of (square root of 2). The angles are
90, 45 and 45. Then,
The sine of 45 degrees
= opposite side / hypotenuse
= 1 / (square root of 2)
= 1 / 1.4142..
= .707...