Like all functions, Sin and Cos can be transformed. These functions can have horizontal (phase shift) and vertical shifts (the simplest shift) and can be stretched or shrunk vertically (change in amplitude) or can be stretched or shrunk horizontally (change in period). These transformation are...
Using tan x = sin x / cos x to Help If you can remember the graphs of the sine and cosine functions, you can use the identity above (that you need to learn anyway!) to make sure you get your asymptotes and x-intercepts in the right places when graphing the tangent function. At x...
Examples: 𝑦=3 sin 4𝜃 𝑦=− cos 3𝜃 Amplitude = 3 =3 Period = 360° 4 =90° or Period = 2𝜋 4 = 𝜋 2 𝑦=− cos 3𝜃 Amplitude = −1 =1 Period = 360° 3 =120° or Period = 2𝜋 3 = 2𝜋 3 Examples: 𝑦=− 1 4 sin 1 3 𝜃 𝑦=6 cos 1...
This function has an amplitude of 1 because the graph goes one unit up and one unit down from the midline of the graph. This function has a period of 2π because the sine wave repeats every 2π units.The graph of f (t) = sin(t) looks like this:...
1/x, xsin(x), 1:1, -1:-1 (trig, sin(x), cos(x)), (linear, x, 2*x+1)(quadrants, green, 1:1, -1:1, -1:-1, 1:-1) (Ellipse, green, sqrt(1-x*x/4), -sqrt(1-x*x/4))(Piecewise, 2-x*def(x, 0, 1), x*def(x, 1, 2))...
The EE button on some graphing calculators is thrown on as a second function which makes it a pain when you are entering these massive numbers. The one major disadvantage of this TI-89 is you must use the 2nd function key to find SIN, COS, and TAN. ...
For example, the TI.83 interprets 2p, 4sin(46), 5(1+2), and (2ä5)7 as implied multiplication. Note: TI.83 implied multiplication rules differ from those of the TI.82. For example, the TI.83 evaluates 1à2X as (1à2)äX, while the TI.82 evaluates 1à2X as 1/(2äX) (...
Specifically, secant, cosecant and cotangent functions are defined as follows: $$\sec x = \displaystyle \frac{1}{\cos x}, \csc x = \displaystyle \frac{1}{\sin x} ~ \textrm{and} ~ \cot x = \displaystyle \frac{1}{\tan x} = \displaystyle \frac{\cos x}{\sin x} $$ Sine ...
Engineering Mathematics Graphing Calculator - Math Functions available , sin(x) Sine of x , cos(x) Cosine of x , tan(x) Tangent of x , asin(x) Arcsin of x , acos(x) Arccosine of x etc.
For example, a recent arti=-=cle [20]-=- published in the official journal of the National Council of Teachers of Mathematics advocates teaching trigonometric identities such as sin 2x = 2 sin x cos x solely by graphing each side on the scr...J. Pelech and J. Parker, The graphing ...