Katarina is right. The explanation correct is because r is a distance and always positive, from she can see that when y is negative, sinθ is also negative.
<h3>What is the explanation for the above?</h3>
For every interval of odd multiple of π, to next even multiple of π, sinθ will be negative.
Mathematically,
Sin θ will be negative in
[(2n +1)π, (2n + 2)π]
Where, n is any integer (Positive or negative).
Hence, it is right to state that Katarina is right. The explanation correct is because r is a distance and always positive, from she can see that when y is negative, sinθ is also negative.
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Full Question:
Dacia Asks Katarina To Tell Her What The Values Of Y Are That Can Make Sine Negative. Which Of Katarina's Replies Is Correct?