Answer:
![(A)\frac 1 {cosx} \frac 1 {sin x} - \frac {cosx} {sin x} = \frac {sin x} {cosx} \\\\(B)\frac{1-cos^2 x }{cos x sin x} = \frac {sin x} {cosx} \\\\(C) \frac{(sin^2x + cos^2x)-cos^2 x }{cos x sin x} = \frac {sin x} {cosx} \\\\(D) \frac{sin^2x }{cos x sin x} = \frac {sin x} {cosx}\\\\(E)\frac {sin x}{cos x} = \frac {sin x}{cos x}](https://tex.z-dn.net/?f=%28A%29%5Cfrac%201%20%7Bcosx%7D%20%5Cfrac%201%20%7Bsin%20x%7D%20%20-%20%5Cfrac%20%7Bcosx%7D%20%7Bsin%20x%7D%20%3D%20%5Cfrac%20%7Bsin%20x%7D%20%7Bcosx%7D%20%5C%5C%5C%5C%28B%29%5Cfrac%7B1-cos%5E2%20x%20%7D%7Bcos%20x%20sin%20x%7D%20%3D%20%5Cfrac%20%7Bsin%20x%7D%20%7Bcosx%7D%20%5C%5C%5C%5C%28C%29%20%5Cfrac%7B%28sin%5E2x%20%2B%20cos%5E2x%29-cos%5E2%20x%20%7D%7Bcos%20x%20sin%20x%7D%20%3D%20%5Cfrac%20%7Bsin%20x%7D%20%7Bcosx%7D%20%5C%5C%5C%5C%28D%29%20%5Cfrac%7Bsin%5E2x%20%7D%7Bcos%20x%20sin%20x%7D%20%3D%20%5Cfrac%20%7Bsin%20x%7D%20%7Bcosx%7D%5C%5C%5C%5C%28E%29%5Cfrac%20%7Bsin%20x%7D%7Bcos%20x%7D%20%3D%20%5Cfrac%20%7Bsin%20x%7D%7Bcos%20x%7D)
In step A, you replace all trigonometric functions with their definitions in terms of sine and cosine.
In step B, you add the two together as you add fractions.
In step C, you replace 1 with the sum of the squares of sine and cosine.
In step D, you add the cosine terms together so they disappear.
In step E, finally, you divide numerator and denominator by
.
1/4 = 3/12
3/12 < 5/12
Therefore, 5/12 is greater than 1/4
<h2>
Greetings!</h2>
Answer:
B)
Step-by-step explanation:
Y intercept:
Simply substitute all the x values with 0:
When x = 0:
3(0) - 2y = 18
Move the - 2y over to the other side making it a +2y:
0 = 18 + 2y
Move the +18 over to the other side making it a -18:
-18 = 2y
Divide both sides by 2:
![\frac{-18}{2} = \frac{2y}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-18%7D%7B2%7D%20%3D%20%5Cfrac%7B2y%7D%7B2%7D)
-9 = y
So y intercept is:
<h3> (0 , -9)</h3>
X - intercept:
Simply substitute all the Y's with 0:
3x - 3(0) = 18
3x = 18
Divide both sides by 3:
![\frac{3x}{3} = \frac{18}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3x%7D%7B3%7D%20%20%3D%20%5Cfrac%7B18%7D%7B3%7D)
x = 6
So the X intercept is:
<h3>(6 , 0)</h3>
This means that your guess of B is correct.
<h2>Hope this helps! </h2>
Answer:
Q:
my problem is this. Solve the problem.The sum of the measures of the angles in any triangle is 180 degrees. In triangle ABC, angles A and B have the same measure, while angle C is 42 degrees larger t…
A:
In triangle ABC, angles A and B have the same measure, while angle C is 42 degrees larger than each of the other two angles. Find the measure of angle Step-by-step explanation:
Find the measures of angles A, B, and C in triangle ABC, if measure of angle B = 5 times the measure of angle A measure of angle C = measure of angle A + 110
✓ A + B + C = 180 A + 5A + A+110 = 180
Answer:
between 222 and 223 days
Step-by-step explanation:
This relation includes the point (0, 2).
A proportional relation must include the point (0, 0).
This is not proportional, but it may be linear.
Points: (0, 2), (2, 20)
y = mx + b
20 = (20 - 2)/(2 - 0) × 2 + b
20 = 18/2 × 2 + b
b = 2
y = 18x + 2
When 4000 people know, y = 4000.
y = 18x + 2
4000 = 18x + 2
3998 = 18x
x = 3998/18
x = 222.111...
Answer: between 222 and 223 days