Identify trig function from the graph
What are the six trigonometry functions?
The six main trigonometric functions are sine, cosine, tangent, secant, cosecant, and cotangent. They are useful for finding heights and distances, and have practical applications in many fields including architecture, surveying, and engineering.
What are the six trigonometric function?
The trigonometric ratio table for six functions like Sin, Cos, Tan, Cosec, Sec, Cot, are: Trigonometric Ratios/ angle= θ in degree ... 0 ° 30 ° 45 ° 60 ° Sin θ 0 1/2 1/√2 √3/2 Cos θ 1 √3/2 1/√2 1/2 Tan θ 0 1/√3 1 √3 Cosec θ ∞ 2 √2 2/√3 2 more rows ...
What do the trig functions mean?
Trig Functions: Overview. Under its simplest definition, a trigonometric (literally, a "triangle-measuring") function, is one of the many functions that relate one non-right angle of a right triangle to the ratio of the lengths of any two sides of the triangle (or vice versa).
What is graphing trigonometric functions?
9.2: Graphing Trigonometric Functions The Amplitude of the graph The Period of the graph The Vertical Shift of the graph The Phase Shift of the graph
Graphs of the Other Trig Functions
8. Choose one of the three trig functions from this activity. How could you use the graphs of sine and cosine to graph that function? Explain. Sample Answers: Plotting the sine, cosine, and cotangent functions together, students might be able to identify the intersection points of sine and cosine as the places where
[PDF File]You analyzed graphs of trigonometric functions.
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B. Identify the damping factor f(x) of y = x2 cos3x. Then use a graphing calculator to sketch the graphs of f(x), –f(x), and the given function in the same viewing window. Describe the behavior of the graph. The function y = x2 cos 3x is the product of the functions y = x2 and y = cos 3x. Therefore, the damping factor is f(x) = x2.
[PDF File]4.5 Graphing All Six Trig Functions
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2 to obtain the graph of the cotangent function. Finally, shift the graph right by 2: (g)To graph y= cot(2x ˇ 2), rst re ect the graph of y= tanxacross the x-axis and shift it left by ˇ 2 to obtain the graph of the cotangent function. Then shift the graph right by 4 and then shrink the function by a factor of two in the horizontal direction ...
[DOC File]Profile Sheet - VDOE
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The graphing calculator will be used to investigate the effect of changing A, B, C, and D on the graph of a trigonometric function. ( AII/T.27 The student will identify the domain and range of the inverse trigonometric functions and recognize the graphs of these functions.
[DOC File]Amplitude and Period for Sine and Cosine Functions Worksheet
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Mixed Review: Equations & Graphing of Trig Functions. Determine the amplitude, period, and vertical shift of each function. 1. y = sin 4x 2. y = cos 5x - 4 3. y = 2 sin x - 3. 4. y = –4 sin 3x + 2 5. y = 2 sin (–4x) 6. y = 3 sin x + 1. Give the amplitude, period, and vertical shift of each function graphed below. Then write an equation of ...
[DOCX File]Even, Odd, or Neither Worksheet
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College/Alg Trig 2.2 Even and Odd Functions Name: ... *The right side of the equation of an even function does NOT change if x is replaced with –x. Even functions are symmetric with respect to the _____. This means we could fold the graph on the axis, and it would line up perfectly on both sides! A function is an odd function if _____ ...
[DOCX File]Home / Homepage
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Identify all properties of the trig graph. Amplitude, frequency, and period. 3. Graph one cycle of the wave by using the value of the period and then key points of the curve. ... frequency, period, vertical translation, and equation of the midline. Graph the function together with a graph of the cosine function f x = cos (x) on the same axes ...
[DOC File]Trig/Math Anal
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Oct 09, 2007 · The graph has vertical asymptotes at x=0 and x=4, and has horizontal asymptote y=0. 41. The function has horizontal asymptote y=1 and has a quadratic polynomial in its denominator, but has no vertical asymptote (i.e., its domain is all real numbers).
[DOC File]Pacing - Rochester City School District
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solve multi step inequalities and graph them. write inequality from a sentence using key word at least, at most, fewer, less, more … Algebra 2 and Trig. Topics. Students will be able to. solve absolute value equations and check. solve absolute value inequalities and check for extraneous solution
[DOC File]Trigonometry FINAL EXAM Review, Spring 2010
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To graph a horizontally translated trig function, you can use one of two methods: Draw the trig function shifted left or right by the given phase shift. Make a table of values where you list the key values for the argument x – d, and then work backwards to find the x value that produces those key values.
[DOC File]Trigonometry Lecture Notes, Section 4.2
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The graph of , assuming c > 0, shifts the graph of . down . by c units. To graph a vertically translated trig function, you can use one of two methods: Draw the trig function shifted up or down. Make a table of values where you compute the value of the shifted function for key values for the argument of the trig function. Graph over two periods.
[DOC File]Outline Trig Functions - Norwood Norfolk School
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Sketch a graph of the bug’s bug's height above the ground as a function of time in hours since noon and write an equation for the function. 9. At 6:00 PM exactly, the hapless bug from problem #8 lets go of the clock hand and falls to the sidewalk below.
[DOC File]Graphs of Trig Functions – More Practice
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1) Explain in words the difference between each graph below and the graph of . a) b) c) d) e) 2) Identify the amplitude, frequency, period, and phase shift of each ...
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