Step-by-step explanation:
Since we can get some information from this. First of all is defined as . So the adjacent side is 3 and the hypotenuse is 4. Using this we can find the opposite side to find to calculate csc and cot of theta. So using the Pythagorean Theorem we can solve for the missing side. Also I forget to mention we have to calculate the sign of the adjacent side and the hypotenuse. Since you're given that the angle is in quadrant 2, that means the x-value is going to be negative, and the y-value is going to be negative. And the x really represents the adjacent side and the y represents the opposite. So the adjacent side is what's negative. and the opposite is positive
Pythagorean Theorem:
So now we can calculate .
Now to calculate the exact value of csc you simply take the inverse. This gives you . Multiplying both sides by sqrt(7) to rational the denominator gives you .
Now to calculate cot(theta) you find the inverse of tan. Tan is defined as . So all you do is take the inverse which is .
Plug values in
Keep, change, flip
Multiply:
Multiply both sides by sqrt(7)
This is the value of cot(theta)
In each box there are 4 Apple and 5 blueberry... so,1.12 2.10 3.32 4.10
The permutation equation is true for all integers n ≥ 3
<h3>How to prove the equation?</h3>
We have:
Apply the following permutation formula
So, we have:
Evaluate the difference
Expand
Multiply through by (n - 3)!
Expand
Divide through by n!
Take the LCM
Evaluate the like terms
Both sides of the equations are the same.
Hence, the permutation equation is true for all integers n ≥ 3
Read more about permutation at:
brainly.com/question/11732255
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