Answer:
0.1
Step-by-step explanation:
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: 39 inch²
Step-by-step explanation:
The rectangle's area was:
= Length * Width
= 6 * 8
= 48 inches²
The square's area is:
= Length * width
= 3 * 3
= 9 inches²
The square was cut out of the rectangle which means the area of the square should be deducted from the rectangle to find out the remaining area.
= 48 - 9
= 39 inch²
Answer:
0, one solution
Step-by-step explanation:
