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

Algebra ->  Finance -> 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       Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!

note: general formulas
y+=+a%2Asin%28b%2Ax%29
y+=+a%2A+cos%28b%2Ax%29
The variable b in both of the following graph types affects the period (or wavelength) of the graph.
The period is the distance (or time) that it takes for the sine or cosine curve to begin repeating again.
Frequency is defined as frequency=1%2Fperiod.
The relationship between b and the period is given by:
period+=2pi%2Fb. Note: As b gets larger, the period decreases.
The variable b gives the number of cycles between 0 and 2pi . Higher b gives higher frequency (and lower period).

Tip 1: The number b tells us the number of cycles in each 2pi.
example:
For y+=+10cos%28t%29%2C+there+is+%7B%7B%7Bone cycle between 0 and 2pi(because b+=+1).
For y+=+10cos%283x%29, there are 3 cycles between 0 and 2pi (because b+=+3).
Tip 2:
Remember, we are now operating using RADIANS.
Recall that:2pi=+6.283185 and that 2pi=+360°


Now let's look at the graph of y+=+5sin%28+t%29.
This time we have a=+5 and b=1
a=+5 is amplitude, so the curve goes up to 5 units and down to -5 units on the y-axis

since b=1, the period is 2pi%2F1=2pi (periodic in t with period 2pi)

here is your sketch:
http://www.intmath.com/trigonometric-graphs/svg/svgphp-graphs-sine-cosine-amplitude-1-s1.svg