What is the value of tan (-2pi/3)? the correct answer is sqrt 3 but how do i get that? someone explain

Step-by-step explanation:

First of all let's define the tangent function:

Now, let's define the standard angles, standard angles are those that have values that appear very often in everyday life. These angles are 30°=π/6, 45°=π/4, and 60°=π/3, and the angles 0°, 90°=π/2, 120°= 2π/3, 180°=π, 270°=3π/2, and 360°=2π. The latter, although not defined as 'standard', are also very common. Here are the values:

Also you need to keep in mind that cosine function is an even function, and sine function is an odd function, that is:

Using these definitions you are able to solve the problem:

1 1/4 hours

step-by-step explanation:

2/4 + 2/4 + 1/4 = 5/4 or 1 1/4

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation: