Chapter 12.7, Problem 2MRE

To determine

To determine the value of given function to four significant digits.

Answer to Problem 2MRE

  $\tan \left(-{43}^{\circ }10\text{'}\right)=-0.9380$

Explanation of Solution

Given information :

  $\tan \left(-{43}^{\circ }10\text{'}\right)$

First we shall convert minutes into degree.

We know that $1^{\circ }=60\text{'}$

Hence ${43}^{\circ }10\text{'}={43}^{\circ }+{\left(\frac{10}{60}\right)}^{\circ }={43.16}^{\circ }$

Further we know $\tan \left(-{43.16}^{\circ }\right)=-\tan \left({43.16}^{\circ }\right)$

Value of the given function can be directly calculated using a calculator.

Hence the value is,

  $\tan \left(-{43}^{\circ }10\text{'}\right)=-0.9380$