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m_a_m_a [10]
2 years ago
5

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.

Mathematics
2 answers:
Westkost [7]2 years ago
8 0

Answer:

cos <ABC=0

cos <BAC=3/5

cos<ACB=4/5

GIVE 5 STARS IF YOU DO RSM!!!

pickupchik [31]2 years ago
7 0

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

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