If A = -3n + 2, and B = 5n - 7, what is the value of A + B, in simplest form?
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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:
