Answer:
Step-by-step explanation:
so we are looking for the x intercept (where the line crosses the x axis).
to do this, we sub in 0 for y and solve for x.
y = 1/2x + 4....sub in 0 for y
0 = 1/2x + 4
-1/2x = 4
x = 4 * -2
x = -8 <=== so it crosses the x axis at (-8,0)
Answer:
hope it helps you..,.....,..........
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
