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Mars2501 [29]
3 years ago
13

Use the image below to answer the following question. What relationship do the ratios of sin x° and cos y° share?

Mathematics
1 answer:
alexgriva [62]3 years ago
4 0

Answer:

  (b)  The ratios are both identical (five thirteenths and five thirteenths).

Step-by-step explanation:

The mnemonic SOH CAH TOA can remind you of the relationships between trig functions and sides of a right triangle. In this problem, we're interested in ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

If we name the right angle vertex Q, then these tell you that ...

  sin(x°) = OQ/OP = 5/13

  cos(y°) = OQ/OP = 5/13

The sin(x°) and cos(y°) ratios are identical. Both are 5/13.

_____

<em>Additional comment</em>

You may have noticed that the side opposite one of the acute angles in right triangle is the side that is adjacent to the other acute angle. That means <em>the sine of an angle is always equal to the cosine of its complement</em>.

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hi

personally this is how i would do this question but there are other ways.

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Step-by-step explanation:

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