Question

Find cos0 where 0 is the angle shown. Give an exact value, not a decimal approximation.​

Answer 1

Answer:

cos(∅) = 3/5

Step-by-step explanation:

cos(∅) = adjacent/hypotenuse

We don't know what the hypotenuse is so we gotta use Pythagorean theorem to find it.

a² + b² = c²

4² + 3² = c²

√(4² + 3²) = c

c = 5  ,  this is our hypotenus

cos(∅) = adjacent/hypotenuse

cos(∅) = 3/5

Answer 2

Answer: Cos0 = 3/5

Step-by-step explanation: In order to calculate the value of Cos0, we would have to apply the trigonometrical ratio of

Cos0 = adjacent/hypotenuse

The adjacent is already given as 3 units (the side that lies between the reference angle and the right angle).

In order to calculate the hypotenuse (unknown side, which we shall label as X), we shall apply the Pythagoras theorem, which is;

X² = 3² + 4²

X² = 9 + 16

X² = 25

Adding the square root sign to both sides of the equation, we now have

X = √25

X = 5

Now that we have the adjacent (3 units) and the hypotenuse (5 units), the cosine of the unknown angle can be calculated thus,

Cos0 = adjacent/hypotenuse

Cos0 = 3/5