Prove trigonometric Identity (with stating the identities)
(1-sin²x) cscx= cosx cotx

Step-by-step explanation:

sin²x+cos²x=1

cos²x=1-sin²x

(1-sin²x)csc x=cos²x csc x=cos²x/sin x= cos x ×(cos x/sin x) =cos x cot x

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.