Given \(\sin 58° = \cos p°\), find p.

  • A 48°
  • B 58°
  • C 32°
  • D 52°
jamb 2019mathematics

The correct answer is C. 32°

In a right-angled triangle, the sine of an angle is equal to the cosine of the complementary angle.

Given:

\(\sin 58° = \cos p°\)

Since \(58°\) and \(p°\) are complementary angles, \(p° = 90° - 58° = 32°\).

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