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What is the fundamental period of tan Square X?

What is the fundamental period of tan Square X?

π
Period of the function is π. Function is even, so the graph is symmetrical above the x – axis. Let us draw the graph for 0

What is the value of SEC square x tan Square X?

Section 1: Trigonometric Functions
Identity Tan(squared)x+1=Sec(squared)x 23:16
Addition and Subtraction Formulas 52:52
Double Angle Formulas 29:05
Half-Angle Formulas 43:55

What is the period of secant squared?

Similarly, the secant function has the same period, 2π, as the function used to define it, cosine.

What is the range of tan 2x?

The range of this function is [1,+∞) , and this is because the function tan2x has range [0,+∞) because it is a square, and there is the 1 …

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How do you find the period of a secant function?

Since the graph of the function sec s e c does not have a maximum or minimum value, there can be no value for the amplitude. Find the period using the formula 2π|b| 2 π | b | . The period of the function can be calculated using 2π|b| 2 π | b | . Replace b b with 1 1 in the formula for period.

How do you find the period of a secant?

Secant Graph : We know that sec x = 1 /cos x. The cosine function has period 2π so the secant function has also period 2π. As secant is a reciprocal of cosine function so for some values this function is discontinuous. We know that sec x ≤ -1 or sec ≥ 1.

What is the fundamental period of x – Tan 2 ⁡ x?

The function f ( x) = sec 2 ⁡ x − tan 2 ⁡ x leads everyone to think that it is always equal to 1 and hence has no fundamental period. However, when x is an odd multiple of π 2, neither tan ⁡ x nor sec ⁡ x is defined.

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What is the fundamental period of sin and cosx?

Now you may notice that after every interval of 2π the value of sinx is repeated. This means that after every period of 2π radians or 360° the value of graph is repeated. For such functions the fundamental period is the period after which they repeat themselves. Period for cosx is also 2π.

What is the fundamental frequency of a function?

Frequency is defined as the number of cycles completed in one second. If the period of a function is denoted by P and f be its frequency, then – f = 1/ P. The fundamental period of a function is the period of the function which are of the form,

How do you find the fundamental period of a function?

The fundamental period of a function is the period of the function which are of the form, f(x+k)=f(x) f(x+k)=f(x), then k is called the period of the function and the function f is called a periodic function.