What is cos A?
1 answer:
Answer:
Step-by-step explanation:
The given triangle, ∆ABC is a right triangle.
To find cos A, we'd need to apply the trigonometric ratio formula, which is cos A = adjacent length/hypotenuse length
From the ∆ given,
AC = adjacent = 15,
BC = opposite = 36
We are not given the hypotenuse length AB.
==>Find the hypotenuse length AB, using the Pythagorean theorem formula:
c² = a² + b²
AB² = 15² + 36² = 225 + 1296 = 1521
AB = √1521
AB = 39
==>Find cos A:
cos A = adjacent/hypotenuse
Adjacent = AC = 15
Hypotenuse = AB = 39
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Answer: (-3,0)
To get this answer, we subtract 5 from the x coordinate and add 2 to the y coordinate. Point A is located at (x,y) = (2,-2) so we see that x = 2 and y = -2
Subtract 5 from the x coordinate: x-5 = 2-5 = -3. The new x coordinate is -3
Add 2 to the y coordinate: y+2 = -2+2 = 0. The new y coordinate is 0.
Therefore, using the rule (x,y) --> (x-5,y+2) has the mapping (2,-2) ---> (-3,0)
Check out the attached image.
