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Serga [27]
3 years ago
15

Part II: Find the sine, cosine, and tangent ratios of <y ​

Mathematics
1 answer:
Lorico [155]3 years ago
6 0

Answer:

sin θ = 22.62°

cos θ = 22.62°

tan θ = 22.62°

Step-by-step explanation:

From the diagram above

Opposite = 5

Adjacent = 12

Hypotenuse = 13

a) sin θ = Opp/Hypotenuse

sin θ = 5/13

sin θ = 0.3846153846

arc sin 0.3846153846

= 22.619864948°

Approximately = 22.62°

b) cos θ = Adjacent/ Hypotenuse

θ = 12/13

= arccos(0.9230769230769231)

22.619864948°

Approximately = 22.62°

c) tan θ = Opposite/Adjacent

θ = 5/12

= arctan(0.4166666666666667)

= 22.619864948°

= 22.62°

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Okay, first, given the equation, we need to find out what the radius of the circle is. Let us state the general equation of a circle: 

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Where (x_{1}, y_{1}) is the centre of the circle. In this case, we don't need to know the centre. Just the radius. 

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Great! We now know the radius of the circle. It is \sqrt{81} because it is the bottom fraction. Now we know that the radius is 9. 

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You can convert that into a decimal if you wish. 

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