What does sec^2(-2) equal? Can you explain why?
You want 1/cos^2 (-2)
i.e. you want the cosine of -2 radians, then square that result, and finally divide 1 by that.
I got 5.7744
sec (-2radian)=-2.40 by calculator
square that, and you get...
To find the value of sec^2(-2), we first need to understand what sec^2 represents. The notation sec^2(x) represents the square of the secant function. The secant function is the reciprocal of the cosine function, which means sec(x) = 1/cos(x).
Now, let's substitute -2 into the expression sec^2(-2):
sec^2(-2) = (1/cos(-2))^2
To find the value of cos(-2), we need to know the unit used for angles. If we assume that angles are measured in degrees, we can find the value of cos(-2).
However, before proceeding, it is important to note that sec^2(x) is always a positive value. This is because any reciprocal of a non-zero value squared will always give a positive result.
Now, let's find cos(-2) using a calculator in degree mode:
cos(-2) ≈ 0.99939
Substituting this value into the expression:
sec^2(-2) ≈ (1/0.99939)^2
≈ 1.00078^2
≈ 1.00156
Therefore, sec^2(-2) is approximately equal to 1.00156.