Step-by-step explanation:
cot x + 2 tan x + tan³ x
Write in terms of sine and cosine:
(cos x / sin x) + 2 (sin x / cos x) + (sin³ x / cos³ x)
Find the common denominator:
(cos⁴ x / (sin x cos³ x) + 2 (sin² x cos² x / (sin x cos³ x)) + (sin⁴ x / (sin x cos³ x))
Add:
(cos⁴ x + 2 sin² x cos² x + sin⁴ x) / (sin x cos³ x)
Factor:
(sin² x + cos² x)² / (sin x cos³ x)
Pythagorean identity:
1 / (sin x cos³ x)
Multiply top and bottom by cos x:
cos x / (sin x cos⁴ x)
Simplify:
cot x sec⁴ x
Answer:
A - 2 feet
Step-by-step explanation:
We know that the tank is a rectangular prism which means the volume is equal to length*width*depth
since the tank can hold 30 cubic feet of water, we can divide 30 by the given dimensions of the length and width to find the depth
30/5 = 6
6/3 = 2
therefore, the depth of the tank has to be 2 feet (A)
Answer:
Step-by-step explanation:
588 because that's the surface area minus the lide
Answer:
Step-by-step explanation:
