what is c in a sine graph

what is c in a sine graph The value frac C B for a sinusoidal function is called the phase shift or the horizontal displacement of the basic sine or cosine function If C 0 the graph shifts to the right If C

To write a sine function you simply need to use the following equation f x asin bx c d where a is the amplitude b is the period you can find the period by dividing the absolute value b by 2pi in your case I believe the frequency and period are the same c is the phase shift or the shift along the x axis and d is the vertical 2 Answers Sorted by 2 a 2 b 3 c 1 To solve part b you need to solve the trigonometric equation 2 sin 3x 1 2 sin 3 x 1 The solution P is then 50 degrees There is another solution at 10 degrees but that is not P Share Cite answered May 1 2016 at 6 19 user of math 4 202 12 32 Add a comment 1

what is c in a sine graph

what is c in a sine graph
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Graphing Trigonometric Functions Free ACT Prep Lessons Quiz Chegg
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And ends when quad Bx C 2 pi quad Rightarrow quad x frac 2 pi B frac C B Thus the graph of y A sin Bx C is just the graph of y A sin Bx shifted horizontally by dfrac C B as in Figure 5 2 11 The graph is shifted to the right when C 0 and to the left when C When B 1 there is a horizontal compression of the graphs When 0 B 1 there is a horizontal stretches of the graph The phase shift of the sinusoidal graph is C If C 0 there is a horizontal shift of C units to the right If C

For sine function f x sin x we have A 1 B 1 C 0 We substitute this value of B into the formula to find the sine function period Hence the period of sin x is given by Period 2 1 2 What is the Range of Sine Function The range of sine function is 1 1 as the graph of sin x oscillates between 1 and 1 only Table of Content What is Sine Function Sine Function Formula Sine Function Graph Sine Function Value Table Properties of Sine Function Sine Function Identities What is Sine Function Sine function is one of the primary trigonometric functions others being tan x cos x sec x cot x and cosec x

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Sine and Cosine Graphs In the graph of the sine function the x x axis represents values of theta and the y y axis represents values of sin theta sin For example sin 0 0 sin0 0 implying that the point 0 0 0 0 is a point on the sine graph Y A sin B x C D and y A cos B x C D y A sin B x C D and y A cos B x C D we will let C 0 C 0 and D 0 D 0 and work with a simplified form of the equations in the following examples

Sinusoidal function formula y A sin B x C D where A B C and D are constants such that is the period A is the amplitude C is the horizontal shift also known as the phase shift If C is positive the graph shifts right if it is negative the graph shifts left D is the vertical shift So amplitude refers to the highest point the graph of the sine cosine function reaches on the y axis while period is the length on the x axis in one cycle am I right Thanks

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what is c in a sine graph - The range of expression bx c is the set of all real numbers Therefore the range of sin b x c is 1 1 Hence 1 sin bx c 1 Multiply both sides by a If a 0 a a sin b x c a If a 0 change symbols of inequality a a sin b x c a or a a sin bx c a