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:
(-14)+(-8)
Step-by-step explanation:
Answer: 45x3x345!3
Step-by-step explanation:
you multiply all numbers then you divide by all the numbers there and there’s your answer
Answer:
![\boxed{\textrm{B)}\qquad y>4}.](https://tex.z-dn.net/?f=%5Cboxed%7B%5Ctextrm%7BB%29%7D%5Cqquad%20y%3E4%7D.)
Step-by-step explanation:
We start by subtracting
from both sides of the second inequality:
![2x > 5 \iff 2x - 1 > 5 - 1 \iff 2x - 1 > 4.](https://tex.z-dn.net/?f=2x%20%3E%205%20%5Ciff%202x%20-%201%20%3E%205%20-%201%20%5Ciff%202x%20-%201%20%3E%204.)
Therefore, we conclude that:
![y > 2x - 1 > 4 \implies y > 4.](https://tex.z-dn.net/?f=y%20%3E%202x%20-%201%20%3E%204%20%5Cimplies%20y%20%3E%204.)
Therefore, every point that satisfies the system has a
-coordinate greater than
.