The Secant of Pi/6 (30 degrees) and the Method to Calculate it

sec π/6 (30)

To find the secant of π/6 (30 degrees), we need to recall the definition of the secant function

To find the secant of π/6 (30 degrees), we need to recall the definition of the secant function.

The secant of an angle is defined as the reciprocal of the cosine of that angle. Mathematically, it is represented as sec(θ) = 1/cos(θ).

In this case, we want to find sec(π/6), which is equivalent to sec(30 degrees). So we need to find the value of cos(30 degrees) and then take its reciprocal.

To evaluate cos(30 degrees), we can use the unit circle or trigonometric identities. One of the common trigonometric identities is:

cos(30 degrees) = √3/2

So, we have cos(30 degrees) = √3/2. Now, we can find the secant of 30 degrees.

sec(30 degrees) = 1/cos(30 degrees)
= 1/(√3/2)
= 2/√3

To rationalize the denominator, we multiply both the numerator and denominator by √3:

sec(30 degrees) = (2/√3) * (√3/√3)
= 2√3 / 3

Therefore, sec(π/6) is equal to 2√3 / 3.

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