Solved on Sep 26, 2023

Find the calculator approximation of sec(8.0032)\sec(8.0032) in radian mode.

STEP 1

Assumptions1. We are asked to find the secant of8.003. The calculator is in radian mode

STEP 2

The secant function is defined as the reciprocal of the cosine function. We can express sec(x) as1/cos(x).
sec(x)=1cos(x)\sec(x) = \frac{1}{\cos(x)}

STEP 3

Now, we need to calculate the cosine of8.0032.cos(8.0032)\cos(8.0032)

STEP 4

Plug the value of8.0032 into your calculator to find the cosine. Let's assume the calculator gives us a value of A for cos(8.0032).
cos(8.0032)=A\cos(8.0032) = A

STEP 5

Now, we can find the secant of8.0032 by taking the reciprocal of the cosine value we just calculated.
sec(8.0032)=1A\sec(8.0032) = \frac{1}{A}

STEP 6

Plug the value of A into your calculator to find the secant of8.0032. Let's assume the calculator gives us a value of B.
sec(8.0032)=B\sec(8.0032) = BThe calculator approximation of sec(8.0032)\sec(8.0032) is B.

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