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Example 3: 270 ≤ θ ≤ 360°. Use the graph of \tan (\theta) tan(θ) to estimate the value for \tan (\theta) tan(θ) when \theta=300^o θ = 300o. Draw a straight line from the axis of the known value to the tangent curve. Show step. Draw a straight, perpendicular line at the intersection point to the other axis. Show step.
With tangent graphs, it is often necessary to determine a vertical stretch using a point on the graph. Because there are no maximum or minimum values of a tangent function, the term amplitude cannot be interpreted as it is for the sine and cosine functions.
- Plot of Sine
- Plot of Cosine
- Plot of Sine and Cosine
- Plot of The Tangent Function
The Sine Function has this beautiful up-down curve (which repeats every 2πradians, or 360°). It starts at 0, heads up to 1 by π/2 radians (90°) and then heads down to −1.
Cosine is just like Sine, but it starts at 1 and heads down until πradians (180°) and then heads up again.
In fact Sine and Cosine are like good friends: they follow each other, exactly π/2 radians (90°) apart.
The Tangent function has a completely different shape ... it goes between negative and positive Infinity, crossing through 0, and at every πradians (180°), as shown on this plot. At π/2 radians (90°), and at −π/2 (−90°), 3π/2 (270°), etc, the function is officially undefined, because it could be positive Infinity ornegative Infinity.
May 30, 2024 · Also Read: Tangent Formula . Tangent Function Graph. Graph for y = tan (x) = y shows how the tangent returns a value y for the angle x (measured in radians). Tangent function is a periodic function and the period of tangent function is π radians, thus the graph of tangent function repeat itself in every π radians along the x-axis. The graph ...
OBJECTIVE 1: Understanding the Graph of the Tangent Function and its Properties. The graph of the function y = tan x consists of all points of the form ( x ,tan x ) . The graph of π π y = tan x , − < x < , is shown below. By plotting more points, we see that this cycle repeats. 2 2. infinitely in both directions.
Worksheet by Kuta Software LLC Accel. Precalculus Graphing Tangent Functions Name_____ Date_____ Period____ ©V s2o0M1^8U qKluxtxay TSWo[fBtSwNamrweq tLtL`Ct.S E dAHl\l` IrFiQgCh^txsy \rFeqsqeCrBvaecd[.-1-Find the period in radians, the phase shift in radians, and the vertical shift. Then sketch the
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Plot the points and join with a smooth curve. Example: The diagram shows a graph of y = tan x for 0˚ ≤ x ≤ 360˚, determine the values of p, q and r. Solution: We know that for a tangent graph, tan θ = 1 when θ = 45˚ and 225˚. So, b = 45˚. We know that for a tangent graph, tan θ = 0 when θ = 0˚, 180˚ and 360˚. So, c = 180˚.
