N= 1/8 I’m pretty sure I did that last year
Answer:
x = theta = 0°
Step-by-step explanation:
Given the trigonometry function
Tan²x/2-2 cos x = 1
Tan²x-4cosx = 2 ... 1
From trigonometry identity
Sec²x = tan²x+1
tan²x = sec²x-1 ... 2
Substituting 2 into 1, we have:
sec²x-1 -4cosx = 2
Note that secx = 1/cosx
1/cos²x - 1 - 4cosx = 2
Let cosx. = P
1/P² - 1 - 4P = 2
1-P²-4P³ = 2P²
4P³+2P²+P²-1 = 0
4P³+3P² = 1
P²(4P+3) = 1
P² = 1 and 4P+3 = 1
P = ±1 and P = -3/4
Since cosx = P
If P = 1
Cosx = 1
x = arccos1
x = 0°
If x = -1
cosx = -1
x = arccos(-1)
x = 180°
Since our angle must be between 0 and 1 therefore x = 0°
Answer:
9 hours
Step-by-step explanation:
We have two equations d=55t and d=20g
The left sides of this equations are the same than the right sides are equal too
a) 55t=20g
b) g=(55/20)t
c) t=6h => g=(55/20) *6 = 165/10=16.5 gallons
d= 55t= 55*6=330 miles or d=20g=20*16.5=330 miles
Good luck!!!
Answer:
3
Step-by-step explanation:
