Big Question Blog Post #2

How do the graphs of sine and cosine relate to the others? Emphasize asymptotes in your response.
a. Tangent: The sine and cosine graphs relate to the tangent graphs because we need to go through the same process to graph these trig functions. The sine and cosine graphs relate to the tangent graphs because tangent equal sine/cosine, so if we were to graph sine and cosine on the same graph, we would know where to graph tangent. We also know that since tangent equals sine/cosine we will have an asymptote where cosine is equal to zero.

b. Cotangent: Sine and cosine graphs relate to tangent graphs because we know that cotangent equals cosine/sine. When we graph cotangent, we know that we will have asymptotes where sine is equal to zero. The only reason that we have asymptotes is because we have a value divided by zero so it makes it undefined and we get an asymptote.

c. Secant: The sine and cosine graphs relate to secant because secant is the reciprocal of cosine. When we graph secant, we sketch the cosine graph first. The reason that we sketch the cosine graph first id so that we can now where we need to draw the asymptotes and the little parabolas that go on the graphs. Secant is related to sine and cosine because secant is the reciprocal of cosine.

d. Cosecant: Cosecant is related to sine and cosine because cosecant is the reciprocal of sine. When we graph cosecant, we start with the same process for graphing sine. We need to lightly sketch the sine graph because it will be our guide to draw our cosecant graph. Then we draw the shifts and draw the parabolas where those shifts are located. Cosecant is related to the seine and cosine graphs because cosecant is the reciprocal of sine.