In the given figure, ΔABC is a right triangle.
1 answer:
The true statement about right-angle triangle ABC is that: A. sin(A) = cos(C) and cos(A) = sin(C).
<h3>How to apply basic trigonometry?</h3>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: brainly.com/question/20367642
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Answer:
and
under this translation.
Step-by-step explanation:
A translation in is a mapping T from
to
defined by
, where
is a fixed vector in
.
From the problem we know that , so we need to find the values
and
such that
, so
and
, thus
and
.
Then and
Therefore and
. The triangles CAR and C'Q'R' are shown in the figure below.
