Question

Given sine (t) = startfraction 7 over 25 endfraction for startfraction pi over 2 endfraction less-than t less-than pi, what is cos(t)? startfraction 24 over 25 endfraction startfraction 7 over 24 endfraction negative startfraction 7 over 24 endfraction negative startfraction 24 over 25 endfraction

Answers

  1. Answer:
      (d)  -24/25
    Step-by-step explanation:
    The given angle is in the second quadrant, where the sine is positive and the cosine is negative.

    Cosine

    The relation between sine and cosine tells you …
      cos(t)² = 1 -sin(t)²
      cos(t)² = 1 -(7/25)² = (625 -49)/625 = 576/625
    Taking the negative square root, we have …
      cos(t) = -√(576/625)
      cos(t) = -24/25

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