If sin θ = 12 over 37, use the pythagorean identity to find cos θ.

Solution:

It is given that

sin θ = 12 over 37 

We know that

sin θ = perpendicular/ hypotenuse 

cos θ = adjacent/hypotenuse

Perpendicular = 12

Hypotenuse = 37

Using the Pythagorean identity

Hypotenuse² = Adjacent² + Perpendicular²

So Adjacent² = Hypotenuse² - Perpendicular²

Substituting the values

Adjacent² = 37² - 12² = √1225

Adjacent = 35

cos θ = 35/ 37

Therefore,

cos θ = 35/ 37.

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If sin θ = 12 over 37, use the pythagorean identity to find cos θ.

Summary:

If sin θ = 12 over 37, using the pythagorean identity cos θ = 35/ 37.