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Please help!
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

Respuesta :

Answer:

adjacent side and Hypotenuse

Step-by-step 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

Answer:

D.  adjacent side; hypotenuse

Step-by-step explanation:

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

  • [tex]\theta[/tex] 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:

[tex]\implies \sf \theta = \cos^{-1}\left(\dfrac{A}{H}\right)[/tex]