Answer is 50cm, to get the diameter you divide the circumference by pi.

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!
Answer:
Step-by-step explanation:

These three individual items take 1/4, 1/6, and 1/8 of the budget. The part of the budget that they take all together is the sum of those individual parts. You need to add up 1/4, 1/6, and 1/8. To do that, you'll need to put all three fractions over a common denominator first, the