If 0 is an acute angle of the right triangle and if cos 0=5/13, then find the values of the remaining five trigonometric function for angle 0

See the highlighted values below.

Step-by-step explanation:

The following right angled triangle will have an angle whose cosine is 5/13.

Hypotenuse = 13 and the 2 legs  will be 5 and 12 units long. The 12 is found using the Pythagoras theorem ( 13^2 = 5^2 + 12^2).

cos O = adjacent / hypotenuse = 5/13.

So sin O = opposite / hypotenuse = 12/13.

tan O =  opposite / adjacent = 12/5.

csc O = 1 / sin O =  13/12.

sec O = 1 /cos O = 13/5.

cot O = 1 / tan O = 5/12.

450 liters

Step-by-step explanation:

It is given that the orchard produces 3000 pounds of oil in a year

Again, we're told that 20 pounds of olives makes 3 liters of oil

Then we're asked to find how many liters of oil the orchard can produce in a year.

If 3000 pounds of olives gets produced in a year

If 20 pounds of olives makes 3 liters of oil, then 3000 pounds of olives will make

3000 / 20 * 3 liters of oil

150 * 3 liters of oil

450 liters of oil

Essentially, the 3000 pounds of olive that the orchard produces in a year will produce a total of 450 liters of oil in a year also