SOLUTION: Use a reference rectangle and the rule of fourths to draw an accurate sketch of the following function through at least one full cycle.
y = 5 sin t
i have here the choices to
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Question 1079785: Use a reference rectangle and the rule of fourths to draw an accurate sketch of the following function through at least one full cycle.
y = 5 sin t
i have here the choices to choose from but I can't attach a picture here :-( Please help me to draw a sketch
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
note: general formulas
The variable in both of the following graph types affects the period (or wavelength) of the graph.
The is the distance (or time) that it takes for the sine or cosine curve to begin repeating again.
Frequency is defined as .
The relationship between and the period is given by:
. Note: As gets larger, the period .
The variable gives the number of cycles between and . Higher gives higher frequency (and lower period).
Tip 1: The number tells us the of in each .
example:
For cycle between and (because ).
For , there are cycles between and (because ).
Tip 2:
Remember, we are now operating using RADIANS.
Recall that: and that °
Now let's look at the graph of .
This time we have and
is amplitude, so the curve goes up to 5 units and down to -5 units on the y-axis
since , the period is (periodic in with period )
here is your sketch:
http://www.intmath.com/trigonometric-graphs/svg/svgphp-graphs-sine-cosine-amplitude-1-s1.svg
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