from ray to angle
This ray-to-angle tutorial I created demonstrates my understanding of angles in terms of rays and the way we can create angles using rays as initial sides and a rotation of the ray as our terminal side.
why we graph like we do
This is just a friendly reminder on why sine and cosine graphs are designed the way that they are! When dealing with real world application, only cosine and sine graphs are able to graph multiple rotations.
cosine and sine graphs |
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The sine and cosine graphs seen in the link provided represent my knowledge of the process of creating sine and cosine graphs and the pi/2 lag between them.
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creating and interpreting cos and sin graphs
y=a±sin(b(x−c))+d
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Horizontal stretch (b) alters the period or wavelength making the wave longer if the (b) value is less than one decreasing the frequency and shorter if the (b) value is greater than one increasing the frequency. A vertical stretch (a) alters the amplitude. If (a) is negative the graph is reflected over the horizontal axis. Horizontal translation (c) causes a phase shift (horizontal) relocating our initial point. Vertical translation (d) relocates the sinusoidal axis, also called the mid line up or down, depending on whether the (d) value is positive or negative.
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