Solve:
Recall that cot(x) really is just 1/tan(x).
Thus, we can say:
Isolate the variable to solve directly for theta.
However, that's not the only solution:
For instance,
is another solution.
In fact, there are an infinite amount of solutions we can have that will satisfy this equation because of the fact that the tangent wave is periodic every π.
Thus, we can say for every π periods, we will have a solution.
Or:
, where
By substituting Θ, we can say that the solutions are:
, where
A circle measures 360°.
Since ∠DEF is equal to 70°, the rest of the circle will have a measure of 360 - 70 = 290°.
Central Angle and Arc relationship:
It states that the measure of the central angle and the arc that it intercepts are equal in measure.
Since ∠DEC is a central angle, its intercepted arc DF is also equal to 70°.
With this given facts, arc DGF is equal to 290°.
We can only solve for the degrees because radius is not given. Had it been given, the fraction 290°/360° will be multiplied to the circumference of the circle to get the length of the arc DGF.
I believe it would be 8.335%, but I could be wrong. Good luck.
C) Always anything more you want to know?
There are 64 handshake because eaxh hand is shaked 8btimes and there are 8 people, so 8×8=64