General Question

PSanswers's avatar

What's the key to remembering how to draw each of the different trigonometric function graphs? (i.e. sin, cos, tan)

Asked by PSanswers (16points) November 18th, 2009

Need a good way to remember how to quickly draw the graphs for the common trig functions.

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6 Answers

Mr_Quick's avatar

SOH – sin
CAH – cos
TOA – tan

sin = opposite over hypotenuse
cos = adjacent over hypotenuse
tan = opposite over adjacent

MrItty's avatar

Sin is a backwards S, turned sideways, starting at the origin.
Cosine is sin shifted to the left by pi/2,

Tangent, not sounding similar to either of the other two, bares no resemblence to the other two. It’s the “weird one”, that starts at (0,0) and goes exponentially to infinity at X=pi/2, and then on the other side of X=pi/2, comes from negative infinity and decreases exponentially to 0 at X=pi.

http://www.mathsrevision.net/gcse/pages.php?page=39

jackm's avatar

Remembering a unit circle always helps me.

The coordinates are (cos,sin) so at 0 degrees with respect to the horizontal it would be (1,0) so cos(0)=1 and sin(0)=0 Now you know that cos is the one that starts at 1, and sine is the one that starts at 0.

MacBean's avatar

SOHCAHTOA always worked for me.

MrItty's avatar

@MacBean & @Mr_Quick how does SOHCAHTOA help you remember the shape of the graphs?

MacBean's avatar

Umm… I don’t know. I took trig ten years ago. It’s the only math I ever passed easily, and the only thing I remember having to memorize was SOHCAHTOA.

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