Solve the equation on the interval [0, 2π).
tan^2x sin x = tan^2x
a. π/2, π
b. 0, π/2
c. 0, π
d. π/2, 2π

x = pi/2..only

Step-by-step explanation:

The equation states that...,

tan^2x.sin x = tan^2x

;we simplify the equation by dividing both sides by tan^2x...which then leaves our equation as,

; sin x = 1

; x = sin^-1 (1)

; Hence x = pi/2

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,