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ive started an endeavor (being an amature mathematician) to find sin cos and tan w/o the use of a calculator. i was wondering if this had already been done because it will save me some time. anyone know how?
I suppose that you could diagram it geometrically and approximate calculations by hand to a closer and closer degree of accuracy.Originally posted by kai0ty
ive started an endeavor (being an amature mathematician) to find sin cos and tan w/o the use of a calculator. i was wondering if this had already been done because it will save me some time. anyone know how?
Yes x is in radians, but also note that using those series the answer is always going to be a little off the real value as these are infinite series.Originally posted by kai0ty
um bit of a problem w/ that series, there wrong. i entered them in a calculator and the answeres were off noticably? is there some special way to read those that i dont know of being only in algebra 2, or is he just wrong? the thing i did was replace x with a number i chose like 2. when i entered it in i got something a lot different than when i put it in my caclulator just as sin(2) is that wrong?
Take a unit circle on a normal Cartesian plane. A unit circle has a radius of one unit. Place the circle on the plane so that the circle's center is on the origin of the coordinate system.Originally posted by StarkyDee
since we are on the topic of tan,sin, and cos.. i am in trig right now and understand most of the math. but i don't really understand what tan, sin and cos really are?? tan is a point on the circle where a line touchs the edge? i have made graphs of the sin and cos functio ns, but what do they represent? i really don't understand the philosophy or signif. of these symbols..can someone set me straight please? thanks
Precisely.Originally posted by StarkyDee
yes that does help me out Warren, thanks. so from the perspective of a 2d graph: (cos,sin) is (1,0) -in your example.
Not quite. Arcsin, arccos and arctan are indeed inverse functions. Arcsin, for example, returns the angle of a given y-coordinate on the unit circle. The cotangent is not an inverse. It's just the reciprocal of the tangent.so i would guess arcsin,cos,tan are just inverses: such as cot = cos/sin..
You don't "need" them. They are just different names for the reciprocals of tan, sin, and cos, respectively.but i dont understand why you you would need cot,csc,sec?