<h3>Answers are:
sine, tangent, cosecant, cotangent</h3>
Explanation:
On the unit circle we have some point (x,y) such that x = cos(theta) and y = sin(theta). The sine corresponds to the y coordinate of the point on the circle. Quadrant IV is below the x axis which explains why sine is negative here, since y < 0 here.
Since sine is negative, so is cosecant as this is the reciprocal of sine
csc = 1/sin
In quadrant IV, cosine is positive as x > 0 here. So the ratio tan = sin/cos is going to be negative. We have a negative over a positive when we divide.
Because tangent is negative, so is cotangent.
The only positive functions in Q4 are cosine and secant, which is because sec = 1/cos.
14 trout out of 50 total fish. The total amount of fish in the lake is 7500. Let’s make this into a proportion.
14/50=x/7500
x represents how much trout is in the lake, we don’t know yet, but we’ll find out.
First, cross multiply.
14*7500=105000
50*x=50x
Now let’s turn this into an equation.
50x=105000
Divide both sides by 50
50x/50=x
105000/50=2100
x=2100
Out of the 7500 fish in the lake, 2100 were trouts.
Answer:
1/529
Step-by-step explanation:

40 ton x 2000 = 80,000 pounds
320000/8000 = 40 pounds per person