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
B. 3 ft by 8 ft
EXPLANATION
The area is given as 24 square feet.
This implies that,

The perimeter of the rectangular field is given as 22 feet.
This implies that,

Or

We make w the subject in this last equation and put it inside the first equation.

When we substitute into the first equation we get;


This implies that,



When l=3, w=24
Therefore the dimension is 3 ft by 8 ft
A withdrawal of $50 is negative because you are taking money out of your account and your money in your account is getting less than what it was before.
Answer:

Step-by-step explanation:
You can us the equation y = m x + c to answer this question.
In ,
y = m x + c
m = slope
c = y - intercept
So, they have already given in the question that,
m = 3/4
c = (-8)
Therefore, you can simply put 3/4 and (-8) instead of m and c respectively like this.
y = m x + c
y = 3/4x - 8
Hope this helps you.
Let me know if you have any other questions :-)
Answer:
right prism
Step-by-step explanation:
If the faces are rectangles, then this prism is called a "right prism"