If and is in Quadrant II, what is the exact value of ?

Answer and explanation

Correct answer: C.

  1. Step 1: Recall that in Quadrant II, the -coordinate is negative while the -coordinate is positive, meaning and . With , set and .
  2. Step 2: Compute the hypotenuse (radius ): . Thus, .
Answer
.
Why not the others: ignores the quadrant sign rule, as cosine must be negative in Quadrant II; is the value of rather than ; is the exact value of in Quadrant II.

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