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:
the action of deposing someone, especially a monarch.
Step-by-step explanation:
<span>192110919 cars.....that is a lot of cars, are you sure you didn't make this up?</span>
Answer:
C
Step-by-step explanation:
Plz mark as brainliest
The x-intercepts of a function are the values of the functions when y = 0.
Given the table below
x f(x)
-4 0
-2 2
0 8
2 2
4 0
6 -2
As can be seen from the table, the y [f(x)] values are 0, when x = -4 and when x = 4.
Therefore, the x-intercepts of the continuous function are (-4, 0) and (4, 0).