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GalinKa [24]
3 years ago
8

Which statement regarding the function y=cos(x) is true?

Mathematics
2 answers:
Amanda [17]3 years ago
7 0
Cos(x)=cos(-x)-For apex people who are trying to make sure.
MAVERICK [17]3 years ago
6 0
<span>A. cos(x) = cos(-x)  [correct, since cos(x) is an even function]
B. Since the cosine function is even, reflection over the x-axis [y-axis] does not change the graph.  [false]
C. cos(x) = -cos(x)   [ false]
D. The cosine function is odd [even], so it is symmetrical across the origin.   [false]</span>
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Answer:

cos Ф = adj / hyp = √5 / 3

Step-by-step explanation:

If sin Ф is +, then Ф must be in either Quadrant 1 or Quadrant 2.

If tan Ф < 0, then Ф must be in either Quadrant 2 or Quadrant 3.  

So we conclude that Ф is in Quadrant 2.

If sin Ф = opp / hyp = 2/3, then opp = 2 and hyp = 3, and adj is found using the Pythagorean Theorem:

adj = √( 3² - 2² ) = √( 5 )

With adj = √5 and hyp = 3, cos Ф = adj / hyp = √5 / 3

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