Problem 63 - Precalculus Essentials

Question

Use a calculator to find the value of the trigonometric function to four decimal places. $$\tan 3.4$$

Step-by-Step Solution

Answer

The actual value will depend on the specific calculator used and its precision, but should be approximately -0.3120 when rounded to four decimal places.

Step 1: Verify Calculator Mode

First, it must be verified that the calculator is in the correct mode. The problem does not specify whether 3.4 is in degrees or radians, but typically bare decimal numbers are assumed to be in radian mode. So, if the calculator is not already in radian mode, it should be switched to radian mode.

Step 2: Input Function

Next, the tangent function must be input into the calculator. Most calculators have a specific button for the tangent function.

Step 3: Input Value

Now, the value to be calculated, 3.4, must be input into the calculator. This is typically done by pressing the number buttons on the calculator.

Step 4: Calculate

Press the equals button or other appropriate button on the calculator to perform the calculation.

Step 5: Record Result

The result is shown on the calculator's display. The result should be recorded to four decimal places.