Answer:
=
−
8
Step-by-step explanation:
Combine like terms
Divide both sides of the equation by the same term
Simplify
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:
45a + 32c
Step-by-step explanation:
a tickets at $45 per ticket cost 45a
c tickets at $32 per ticket cost 32c
The total cost is
45a + 32c
Answer:
24
Step-by-step explanation:
x-3=5, solve for x so that x=5+3
now put this in place of x in the expression 2(x+4)
2[(5+3)+4]
2(8+4)
2(12)
24
Answer:
B.
Step-by-step explanation:
because y is a rotation that rotates up and down like a ramp!
