Amplitude and Period of a Sine Function:The amplitude of a sine function of the form {eq}f(x)=a\sin (bx)+c {/eq} is given by: $$\text{Amplitude}=|a| $$ The period of a sine function of the form {eq}f(x)=a\sin (b
Calculate the amplitude and period of the function. f(t)=−cos(3t)−12 Trigonometric Functions: Trigonometric functions have characteristics that define them among these, we have: i) Domain. ii) Period. iii) Amplitude. iv) Vertical asymptotes, and v) Range. To o...
Algebraically, this can be represented by saying a function has a period p iff f(x)=f(x+p) for all x values in its domain. If a periodic function is continuous, then it must have a maximum and minimum value. The amplitude of a periodic function is half of the difference between its...
How do you write the equation of a sine function given the following: Amplitude = 5, Period = 2pi, and Phase shift = pi/3? Write the equation of a sine function that has the following characteristics. Amplitude: 2, Period: 7\pi, P...
What is the period of y = 2 - 3 cos(pi(x) + 2)? What is the period of 3cos((x/3) - 3.14) + 4? What is csc(15pi/4)? If x:y = 5:2 and y:z = 3:2, what is the ratio of x:z? What is 15% as a ratio?
Answer to: Give the Amplitude, Reflection, Period, Phase Shift, and Vertical Shift of the function; graph the function. y = sec (2 x - pi) - 2 By...
Find the amplitude and period of y = ?2sin(2(pi)x). Determine the amplitude and period of the following function, without graphing: y = - \dfrac{7}{9} sin \left ( \dfrac{9}{7} x \right ). write the equation of a sine function that has the given characteristics. Amplitude: 4...
Answer to: Give the Amplitude, Reflection, Period, Phase Shift, and Vertical Shift of the following function. Graph the function. y = 1 / 2 cot (2...
Find the amplitude and period of the function: y=−2sin(2pix) Amplitude and Period of sine Functions We know that For a given function y=asinbx The amplitute of the function is |a| Period of the function is P. P=2πb Answer and Explanation: We know that ...
Answer to: Give the Amplitude, Reflection, Period, Phase Shift, and Vertical Shift of the function; graph the function. y = 1 / 2 csc (4 x) By...