How would you write an equation of the cosine function with amplitude 2 and period 6pi? Trigonometry Graphing Trigonometric Functions Translating Sine and Cosine Functions 1 Answer.
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields.. Finding the Equation of a Trig Graph via both Sine and Cosine. Ask Question Asked 5 years, 3 months ago.
When finding the equation for a trig function, try to identify if it is a sine or cosine graph. To find the equation of sine waves given the graph, find the amplitude which is half the distance between the maximum and minimum. Next, find the period of the function which is the horizontal distance for the function to repeat.How Period of Sine and Cosine graphs relates to their equation and to unit circle. Interactive demonstration of period of graphs.This lesson shows how to find the period of cosine functions. We then take it a step further and look at the amplitude, phase shift, and vertical.
Answer to Write an equation of the cosine function with amplitude 2 and period 6.
Determine the amplitude, midline, period and an equation involving the cosine function for the graph shown in the figure below. Solution To write the cosine function that fits the graph, we must find the values of A, B, C and D for the standard cosine function f x A Bx C D ( ) cos. The value of D comes from the vertical shift or midline of.
Set up a trigonometry equation, using the information from the picture. You know that the adjacent side is 3 feet, and you’re looking for the length of the ladder, or the hypotenuse. Therefore, you have to use the cosine ratio, because it’s the ratio of the adjacent leg to the hypotenuse.
Write A Sine And A Cosine Equation For This Function 2012 S. This question hasn't been answered yet Ask an expert. Show transcribed image text. Expert Answer. Previous question Next question Transcribed Image Text from this Question. Written Response 1. Write a sine and a cosine equation for this function 2012 S.
Sine, cosine and tangent of an angle represent the ratios that are always true for given angles. Remember these ratios only apply to right triangles. The 3 triangles pictured below illustrate this.
Answer to Use cosine to write the equation of the graph below. 3 N CD 120 180 210 300 360 -1 2 -3.
Right Side: Since the left side of the original equation equals the right side of the original equation when you substitute -0.19026544 for x, then -0.19026544is a solution. We have just verified algebraically that the exact solutions are and these solutions repeat every units. The approximate values of these solutions are and 0.8569321 and these solutions repeat every units.
How to add an equation in your document, see Working with Microsoft Equation. To insert, for example, the Euler's formula, do the following:. In the Professional format:. 1. In your own equation, under Equation Tools, on the Design tab, in the Structures group, click the Script button.
More generally, direction cosine refers to the cosine of the angle between any two vectors. They are useful for forming direction cosine matrices that express one set of orthonormal basis vectors in terms of another set, or for expressing a known vector in a different basis.
Write a trigonometric equation using the cosine function that best models this situation. Rewrite the equation using the sine function. For which places would the sine function be a more obvious model for the temperature data? The long-term average temperatures for Wellington were given above.
Write in terms of sine and cosine, Simplify the trig expression to a power of a single trig function? asked Nov 15, 2014 in TRIGONOMETRY by anonymous. trignometric-identites; write the equation in slope intercept form of the line that has a slope of -2 and y intercept of 2. asked Feb 21, 2014 in ALGEBRA 1 by skylar Apprentice.