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sladkih [1.3K]
3 years ago
8

If sin(x) = squareroot 2 over 2 what is cos(x) and tan(x)

Mathematics
1 answer:
Bumek [7]3 years ago
7 0

Answer:

cos(x) = square root 2 over 2; tan(x) = 1

Step-by-step explanation:

\frac{\sqrt{2} }{2}

was, before it was rationalized,

\frac{1}{\sqrt{2} }

Therefore,

sin(x)=\frac{1}{\sqrt{2} }

The side opposite the reference angle measures 1, the hypotenuse measures square root 2.  That makes the reference angle a 45 degree angle.  From there we can determine that the side adjacent to the reference angle also has a measure of 1.  Therefore,

cos(x)=\frac{1}{\sqrt{2} }=\frac{\sqrt{2} }{2} and

since tangent is side opposite (1) over side adjacent (1),

tan(x) = 1

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