5/6-1/3
So you find the common denominator which is 6
5/6-2/6=3/6
Answer is 1/2

We will use trigonometric identities to solve this. I will use θ (theta) for the angle.
First of all, we know that cotθ = 1/tanθ. This is a trigonometric identity.
We can replace cotθ in the expression with 1/tanθ.

Simplify: 1/tanθ * tanθ = tanθ/tanθ = 1
So now, we have:

Next, we also know that secθ = 1/cosθ. This is another trigonometric identity.
We can replace secθ with 1/cosθ in our expression.

Simplify:

Our third trigonometric identity that we will use is tanθ = sinθ/cosθ.
We can replace sinθ/cosθ with tanθ.
Now we have as our final answer:

Hope this helps!
Add 2 to the interval.
.. [-8, 7]
Consider the range of absolute values of numbers in this interval.
.. [0, 8]
Multiply by -5.
.. [-40, 0]
Add -7.
.. [-47, -7]
This corresponds to selection ...
.. C. [-47, -7]
_____
For confirmation, here's a graph.
<span>The answer to this question depends on the class size. However if we assume the class is sufficiently large then we can assume the 65% ratio stays relatively constant as students are selected. In this case we will treat selecting three students as independent events. Therefore we can multiply the probabilities. Finally, the probability of selecting three students that all like statistics more than algebra is (0.65)x(0.65)x(0.65) = 0.275.</span>
Answer:
30
Step-by-step explanation:
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