Answer:
x = 130 degrees
Step-by-step explanation:
7-sided polygon = 900 degrees
114 + 138 + 127 + 108 + 142 + 141 + x = 900
770 + x = 900
<u>-770 -770</u>
x = 130
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Answer:
no you dont
Step-by-step explanation:
Answer:

Step-by-step explanation:
Let
, we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:
(1)
(2)
Now we perform the operations: 



(3)
By the quadratic formula, we find the following solutions:
and 
Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:

By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:

Then, the values of the cosine associated with that angle is:

Now, we have that
, we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used:
(4)
(5)




If we know that
and
, then the value of the function is:

