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Inessa05 [86]
2 years ago
11

Math problem (easy) ………………………………………

Mathematics
2 answers:
wolverine [178]2 years ago
7 0

Answer:

1/6

Step-by-step explanation:

Decimal Form 0.16

yawa3891 [41]2 years ago
6 0

Answer:

7/24

Step-by-step explanation:

Hope this helps

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What is the value of sinθ given that (3, −7) is a point on the terminal side of θ ? −758√58 758√58 358√58 −358√58?
Svetach [21]

Answer:

\boxed{\sin(\theta)=-\frac{7}{58}\sqrt{58}}

Step-by-step explanation

The given point (3,-7) tells us that the terminal side of \theta is in the fourth quadrant.


From the diagram in the attachment,

We can use the Pythagoras Theorem to find the length of the hypotenuse of the right triangle.

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h^2=58


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But since the terminal side of \theta is in the fourth quadrant, the sine ratio must be negative.


This implies that;


\sin(\theta)=-\frac{7}{\sqrt{58}}.


We rationalize the denominator to get;


\sin(\theta)=-\frac{7}{58}\sqrt{58}.




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