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:
3/4
Step-by-step explanation:
First of all, we need to calculate the slope of the line shown. This can be computed as:
where
is the increment along the y-direction
is the increment along the x-direction
We can choose the following two points to calculate the slope of the line shown:
(-3,2) and (0,-2)
And so, the slope of the line shown is
Two lines are said to be perpendicular if the slope of the first line is the negative reciprocal of the slope of the second line:
Using , we find that a line perpendicular to the line shown should have a slope of