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
When going through York Canal, his speed is 1 mile per 3 minutes.
If going by this speed while crossing Stover Lake, he would drive 10 miles in 30 minutes.
Therefore, he drove 10 miles.
Answer:
y + 4 = (-1/6)(x - 6)
Step-by-step explanation:
Apply the point-slope formula here: y - k = m(x - h) becomes
y + 4 = (-1/6)(x - 6)
Answer: 8(4) - 10 equals to 22 :)
57.5 is the answer. Because think of 200 as 100% and 15 out of a hundered is ______. Right.
