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Inverse cosine is used to find a given angle measure when we know the ________ and the ________.
A. same side; other side
B. opposite side; hypotenuse
C. opposite side; adjacent side
D. adjacent side; hypotenuse

User Aakoch
by
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2 Answers

3 votes

Answer:

adjacent side and Hypotenuse

Explanation:

In a right angle triangle the sides are known as

  • Perpendicular=Opposite side
  • Base=Adjacent side
  • Hypotenuse

So

  • cosØ=Base/Hypotenuse
  • cosØ=Adjacent/Hypotenuse

Hence option D is correct

User Dan Passaro
by
8.4k points
9 votes

Answer:

D. adjacent side; hypotenuse

Explanation:

Trigonometric ratios


\sf \sin(\theta)=(O)/(H)\quad\cos(\theta)=(A)/(H)\quad\tan(\theta)=(O)/(A)

where:


  • \theta is the angle
  • O is the side opposite the angle
  • A is the side adjacent the angle
  • H is the hypotenuse (the side opposite the right angle)

Therefore, when the cosine trigonometric ratio is used to find a given angle, we take the inverse cosine of the ratio of the adjacent side to the hypotenuse:


\implies \sf \theta = \cos^(-1)\left((A)/(H)\right)

User Manuel Selva
by
8.4k points

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