Shybaby5019
18.03.2021 •
Mathematics
I’m extremely stressed and anxious again so please help me pre cal i hate how i don’t understand
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Ответ:
Step-by-step explanation:
Solution 1 (Algebraically):We're given the following equation to find for all values of in the restricted domain :
Subtract from both sides:
.
Recall the trigonometric identity
. We can rewrite as and use this trigonometric identity to simplify:
.
We then have two cases:
.
Solving, we have:
.
However our domain is restricted to . Therefore, only the following integers work for :
For , only fit in this domain.
For , only fit in this domain.
Therefore, are solutions are:
, where is in radians. Since the domain is given in radians (), our answers for should be given in radians.
Solution 2 (Unit Circle):If you have a unit circle, is equal to the y-coordinate of the corresponding point on the unit circle. From here, you can look for angles to fit the given equation. You'll see that are the only angles that work for the given domain. Converting to radians, we get:
.
Ответ: