I am not having trouble with the division part. I need to know how to do the three trigonometric functions with gradians. Such as, sin(5)gradians = ? and cos(5)gradians = ? I don't really know where to begin to solve this.
I am not having trouble with the division part. I need to know how to do the three trigonometric functions with gradians. Such as, sin(5)gradians = ? and cos(5)gradians = ? I don't really know where to begin to solve this.
Do you know how to do the trig functions in degrees? You know, I hope, that there are 360 degrees in a circle and, if you define a "gradian" to be 1/400 of circle there are 360/400= 0.9 degrees in a "gradian". The sine of 5 "gradians" is the sine of 5*.9= 4.5 degrees.
Isn't sine a y-coordinate? would I just times any of the units by 0.9 to get the y-coordinate? I don't fully understand how to get trig functions from anything but the common angles.
There are 2 pi radians in a circle and 400 gradians in a circle, so $\displaystyle 2 \pi$ radians = 400 gradians. Hence to convert gradians to radians multiply by $\displaystyle 2 \pi/400 = \pi/200$ radians/gradian. Hence $\displaystyle \sin (5 $ gradians) = $\displaystyle \sin (5 \times 2 \pi / 400 $ radians) = $\displaystyle \sin (\pi/40$ radians).
Same thing with tangent and cosine - convert to radians then determine the values.
Alternatively, if you are more comfortable working in degrees then multiply the angle given in gradians by 0.9 to get the angle in degrees. But this is NOT the same thing as multiplying the value of the sine function by 0.9. In other words $\displaystyle \sin(0.9x) \ne 0.9 \sin(x) $
online scientific calculator with degree/radian/grad select buttons ...
Free Online Scientific Calculator -- EndMemo