Step-by-step explanation:

We start with Left hand side
We know that csc(x) = 1/ sin(x)
So csc(2x) is replaced by 1/sin(2x)

Also we use identity
sin(2x) = 2 sin(x) cos(x)

4 divide by 2 is 2
Now we multiply top and bottom by sin(x) because we need tan(x) in our answer



We know that sinx/ cosx = tan(x)
Also 1/ sin(x)= csc(x)
so it becomes 2csc^2(x) tan(x) , Right hand side
Hence verified
Answer:
Veronika's weight = 92 pounds
Kate's weight = 46 pounds
Step-by-step explanation:
Let Veronika's weight = x
Let Kate's weight = y
The sum of Veronika's and Kate's weight is 118 pounds.
x + y = 118
Veronika weighs 26 pounds more than Kate.
x = y + 26
How much do they weigh individually?
We substitute y + 26 for x in Equation 1
x + y = 118
y + 26 + y = 118
26 + 2y = 118
2y = 118 - 26
2y = 92
y = 92/2
y = 46 pounds
x = y + 26
x = 46 + 26
x = 92 pounds
Hence,
Veronika's weight = 92 pounds
Kate's weight = 46 pounds
Answer:
No
Step-by-step explanation:
Given that:
Total number of cups of trail mix available for camping trip = 
Amount of one serving contains =
cups
Number of people at the trip = 12
To find:
Whether each person will be able to get the servings?
Solution:
Here, we can find the total number of servings by dividing the total number of cups of trail mix with the amount of one serving.
First of all, let us convert the mixed fraction into fractional number.

Therefore, total number of servings available as per the given quantities:

So, With this type of servings Zoey will be able to serve only 8 people.
Therefore, there is not enough servings.
22 feet. Using the sine rule theory: 20/sin(65)=x/sin(90). You know that it's 90 degrees because you assume the ground and the building make a 90 degree angle. So, you cross multiply and get 20sin(90)/xsin(65) and solve for x.
A because i did the maths and its A