Answer:
Step-by-step explanation:
Notice that .
The diagram already marks , so we just need to find
.
and
are vertical angles, which means they are equal in measure.
Therefore,
Since there are on each side of a line, we have the following equation:
.
Plugging in , we have:
.
Therefore,
.
The sum of the arithmetic series 6 8 10 12 14 16 18 20 22 24 26 is 176
<h3>How to determine the sum of the series?</h3>The series is given as:
6 8 10 12 14 16 18 20 22 24 26
The above series is an arithmetic series with the following parameters:
First term, a = 6
Last term, L = 26
Number of terms, n = 11
The sum of the series is calculated using:
This gives
Evaluate
Hence, the sum of the arithmetic series 6 8 10 12 14 16 18 20 22 24 26 is 176
Read more about arithmetic series at:
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Using the unit circle, the coordinates of 3π/4 is :
Note that tangent function can be solved using the formula y/x
where x and y are the coordinates of the angle.
This will be :
The answer is -1
