What is the period of a secant function?
Similarly, the secant function has the same period, 2π, as the function used to define it, cosine.
How do you find the period of a graph from a graph?
Amplitude is the distance between the center line of the function and the top or bottom of the function, and the period is the distance between two peaks of the graph, or the distance it takes for the entire graph to repeat. Using this equation: Amplitude =APeriod =2πBHorizontal shift to the left =CVertical shift =D.
How do you find the period of a CSC graph?
By definition, csc(x)=1sin(x) . Therefore, its period is the same as the period of sin(x) , that is, 2π .
What is the period of CSC 4x?
The basic period for y=csc(4x) y = csc ( 4 x ) will occur at (0,π2) ( 0 , π 2 ) , where 0 0 and π2 π 2 are vertical asymptotes.
What is the period of CSC?
2π
The secant and cosecant have periods of length 2π, and we don’t consider amplitude for these curves.
What is the period of csc 2x?
π
The period of sin 2x is π . The period of csc 2x is also π .
How do you find CSC period?
How do you find the period of a CSC function?
How do you find csc period?
Which is the period of Y = sec ( x )?
The basic period for y = sec ( x) y = sec ( x) will occur at ( − π 2, 3 π 2) ( – π 2, 3 π 2), where − π 2 – π 2 and 3 π 2 3 π 2 are vertical asymptotes. Find the period 2 π | b | 2 π | b | to find where the vertical asymptotes exist. Vertical asymptotes occur every half period.
Where does the graph of the secant function end?
The graph of cosine goes from 1, into fractions, and all the way down to 0. Secant takes the reciprocal of all these values and ends on this first interval at the asymptote.
How to calculate y = sec ( x, B, C, C )?
Set the inside of the secant function, b x + c b x + c, for y = a sec ( b x + c) + d y = a sec ( b x + c) + d equal to − π 2 – π 2 to find where the vertical asymptote occurs for y = sec ( x) y = sec ( x). Set the inside of the secant function x x equal to 3 π 2 3 π 2.
How to find the period of a function?
Find the period using the formula 2π |b| 2 π | b |. Tap for more steps… The period of the function can be calculated using 2 π | b | 2 π | b |. Replace b b with 1 1 in the formula for period. Solve the equation.