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using complete sentences, explain the key features of the graph of the tangent function.
Tangent is sine over cosine. Since sine and cosine are periodic, then tangent has to be, as well.–π to –π/2: The tangent will be zero wherever its numerator (the sine) is zero. This happens at 0, π, 2π, 3π, etc, and at –π, –2π, –3π, etc. The tangent will be undefined wherever its denominator (the cosine) is zero. A zero in the denominator means you’ll have a vertical asymptote. So the tangent will have vertical asymptotes wherever the cosine is zero.
Sine, Cosine, Tangent Graphs (solutions, examples, videos) – Graph Tangent and identify key properties of the function.http://mathispower4u.wordpress.com/This Graphing the Tangent Function Lesson Plan is suitable for 10th – 12th Grade. Help learners discover the unique characteristics of the tangent function. Working in teams, pupils create tables of values for different intervals of the tangent function.Answer: We are given the tangent function .. Firstly we know that, , where is the sine function and is the cosine function. Now, tangent function will be zero when its numerator is zero. i.e. when . i.e. when , where n is the set of integers. So, tangent function crosses x-axis at , n is the set of integers.. Further, tangent function will be undefined when its denominator is zero.
Functions Calculator – Symbolab – Tangent is sine over cosine. Since sine and cosine are periodic, then tangent has to be, as well.-π to -π/2: The tangent will be zero wherever its numerator (the sine) is zero. This happens at 0, π, 2π, 3π, etc, and at -π, -2π, -3π, etc. The tangent will be undefined wherever its denominator (the cosine) is zero.Since they are both periodic, the tangent has to be too. -pi to -pi/2 = tangent will be 0 when the numerator/sin is 0 (happens at 0, 2pi, 3pi, etc. and -pi, -2pi, -3 pi, etc.) The tangent will be undefined when the denominator (cos) is 0. Also means there'll be a vertical asympote 10 of 10 ✓ 3. (10.05 LC) If, what is sin (x) and tan (x)?The period of the tangent function is because the graph repeats itself on intervals of where is a constant. If we graph the tangent function on to we can see the behavior of the graph on one complete cycle. If we look at any larger interval, we will see that the characteristics of the graph repeat.