GRAPHING FUNCTIONS
Sketching Trigonometric Functions
Before sketching a trig function you must decide whether to sketch in degrees or
radians. For the purposes of this example, it is imperative that we sketch in radians.
From the RUN mode enter the SET UP (SHIFT
MENU) and check that the Angle setting of the
calculator is set to radians. If not, scroll down using
the down arrow to Angle, then press Rad (F2).
EXIT the SET UP, press MENU and enter into the
GRAPH mode of the calculator (MENU 5). Once in the
GRAPH mode, alter the View-Window (SHIFT F3) to
the TRIG (F2) setting.
Note that the default trig setting sketches the trig
function for {x: -3π ≤ x ≤ 3π}
Press EXIT to return to the text screen. Use the functions available in the GRAPH
mode to sketch y = sin x, and find its derivative in the given domain.
To enter the ‘d/dx’ symbol press OPTN then CALC
(F2) (to access the calculus options) followed by F1
(d/dx).
You may wish to draw Y2 in a different colour. If so,
press COLR (F4) then choose the colour that you want
to use. Orange (F2) is an excellent contrast to blue or
green. To draw the two functions press DRAW (F6).
To enter the ‘Y’ symbol press VARS (variables) then
GRPH (F4) followed by Y (F1). Notice that the graph
of cos x has been drawn against the graph of sin x,
exposing the result that the first derivative of sin x w.r.t
x is actually cos x.
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