Chapter 4.2, Problem 36E

Solution

To calculate the given trigonometric function using calculator.

  $\csc \left(19°\right)\approx \text{3}\text{.072}$

Given information:

  $\csc \left(19°\right)$ .

Formula used:

The trigonometric function of an angle $\theta$ of a right angled triangle $\Delta ABC$ are:

  $\sec \theta =\frac{hyp}{opp}$

Where opp is the opposite side to the angle $\theta$ , adj is the adjacent side to the angle $\theta$ , and hyp is the hypotenuse of the triangle.

Calculation:

In order to find the value of the trigonometric function

  $\csc \left(19°\right)$ using calculator, first make sure note that the calculator is in degree mode, if it is not then change it into degree mode.

Now type on calculator first press the trigonometric function “csc” button, and the type 19, and click “=” sign.

It will give the answer

  $\csc \left(19°\right)\approx \text{3}\text{.072}$