3 years ago

Given sin

Mathematics

1 answer:

Effectus [21]3 years ago

5 0

Answer: $\frac{11}{12}$

Step-by-step explanation:

Use trigonometry (shown in image below) to find the 3 side-lengths:

The side opposite of θ = $\sqrt{23}$
The base side adjacent to θ = 11
The hypotenuse = 12

According to right triangle trigonometry:

cos θ = $\frac{adjacent}{hypotenuse}$

Substitute in the values:

cos θ = $\frac{11}{12}$

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