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In the given figure, ΔABC is a right triangle.

The figure shows the right-angle triangle ABC. B is the length of AC and a is the height of BC and c is the base of AB.

What is true about ΔABC?

A.
sin(A) = cos(C) and cos(A) = sin(C)
B.
sin(A) = sin(C) and cos(A) = cos(C)
C.
sin(A) = cos(A) and sin(C) = cos(C)
D.
sin(A) = cos(C) and cos(A) = cos(C)

Respuesta :

Lanuel

The true statement about right-angle triangle ABC is that: A. sin(A) = cos(C) and cos(A) = sin(C).

How to apply basic trigonometry?

In order to determine the angles, we would apply basic trigonometry. From the diagram of the right-angled triangle shown below, we can deduce the following parameters:

  • Angle (θ) = 45°.
  • Opposite (Opp) side = a.
  • Hypotenuse (Hyp) = c.
  • Adjacent (Adj) side = b.

By applying the basic trigonometry functions, we have:

sin(A) = Opp/Hyp = a/c.

sin(C) = Opp/Hyp = c/b.

cos(A) = Adj/Hyp = c/b.

cos(C) = Adj/Hyp = a/c.

From the above, we can logically deduce that sin(A) is equal to cos(C) and cos(A) is equal to sin(C).

Read more on sine trigonometry here: https://brainly.com/question/20367642

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