10 points!!
2 answers:
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Answer:
Option A
Step-by-step explanation:
The first thing we want to do here is identify whether or not the diagonals are perpendicular, which helps much to know to prove what angle AOB.
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Let us say that this is a rhombus. That would make the diagonals perpendicular, and hence ∠AOB should be 90 degrees, but let's not jump to conclusions. We need to calculate the length of BO. By Pythagorean Theorem it should be the following length -
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Knowing BO, to prove that this is a rhombus we can find the length of BO another way, and match it to the length 6.26 -
Δ ABD = Equilateral,
BD = 10 cm,
" Coincidence Theorem " - BO = 5 = OD.
Here BO = 5. 5 is close to 6.26 but not exactly, so the measure of angle AOB is not 90, but better yet 80.
Answer:
First, we know that:
cot(x) = cos(x)/sin(x)
csc(x) = 1/sin(x)
I can't know for sure what is the exact equation, so I will assume two cases.
The first case is if the equation is:
if we replace cot(x) and csc(x) we get:
Now let's we can rewrite this as:
We can't simplify it more.
Second case:
If the initial equation was
Then if we replace cot(x) and csc(x)
This is equal to:
And we know that:
sin^2(x) + cos^2(x) = 1
Then:
sin^2(x) - 1 = -cos^2(x)
So we can replace that in our equation: