the vertices of ABC are points A(1,1), B(4,1), and C(4,5). find the cosines of the angles of the triangle.
2 answers:
Answer:
- cos(A) = 3/5
- cos(B) = 0
- cos(C) = 4/5
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between the cosine of an angle and the sides of the triangle.
Cos = Adjacent/Hypotenuse
__
<h3>Angle A</h3>In the given triangle, the hypotenuse is AC. The side adjacent to angle A is AB, so its cosine is ...
cos(A) = AB/AC
cos(A) = 3/5
__
<h3>Angle B</h3>The right angle in the triangle is angle B. The cosine of a right angle is 0.
cos(B) = 0
__
<h3>Angle C</h3>The side adjacent to angle C is CB, so its cosine is ...
cos(C) = CB/AC
cos(C) = 4/5
You might be interested in
The greatest common factor is
Explanation:
The given expression is
We need to determine the greatest common factor of the given expression.
The greatest common factor of two numbers is the largest number of the two numbers that divides them both.
Hence, from the given expression, let us common out the highest factor that divides the two numbers.
Thus, we have,
Thus, the largest number that divides both the terms is
Hence, the greatest common factor of the given expression is
Given:
The triangle ABC rotated 270 degrees clockwise.
The rule of rotation is
To find:
The coordinates of point B after the given rotation.
Solution:
From the given graph, it is clear that the coordinates of point B are (4,4).
The given rule of rotation is:
Using this rule, we get
The coordinates of point B after the given rotation are (-4,4).
Therefore, the correct option is C.