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Sagot :
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.
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Additional comment
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 the sine of an angle is always equal to the cosine of its complement.
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