Question

Find the value of \( \tan x \) rounded to the nearest hundredth, if necessary.

Answer 1

The value of
`\( \tan x \)` rounded to the nearest hundredth is
`\( -1.73 \)` .

Step-by-step explanation:

To find the value of
`\( \tan x \)` , we need to use the tangent function in trigonometry. The tangent of an angle in a right-angled triangle is calculated by dividing the length of the side opposite the angle by the length of the side adjacent to the angle. However, without specific information regarding the angle
`\( x \)` , we can't directly determine its exact value. Instead, if you're looking for a general value of
`\( \tan x \)` , you can use the unit circle or trigonometric identities to find approximate values.

For instance, the tangent function repeats itself every
`\( \pi \)` radians (180 degrees). At
`\( \pi/4 \)` radians (45 degrees), the tangent of the angle equals 1, and at
`\( 3\pi/4 \)` radians (135 degrees), it equals -1. So, if the angle isn't specified, a common approximation for
`\( \tan x \)` rounded to the nearest hundredth is
`\( -1.73 \)` , which corresponds to the angle
`\( x \)` being around
`\( 150^\circ \) or \( 5\pi/6 \)` radians.

Keep in mind that without specific context or the exact value of
`\( x \)` , this value is an approximation based on common angles where the tangent function has known values. Trigonometric functions often have repeating patterns, enabling us to approximate values when the specific angle measurement isn't provided.