Question

Sin 50 cos 5 - cos 50 sin 5

Answer 1

I hope this helps you




sin (50-5)


sin45


sqrt2/2

Answer 2

The expression you've provided is an example of a trigonometric identity involving the sine and cosine functions. It's known as the angle difference formula for sine:

sin(A - B) = sin(A)cos(B) - cos(A)sin(B)

In your case, A = 50 degrees and B = 5 degrees:

sin(50° - 5°) = sin(50°)cos(5°) - cos(50°)sin(5°)

Now, let's calculate the values:

sin(50°) ≈ 0.76604 cos(5°) ≈ 0.99619 cos(50°) ≈ 0.64279 sin(5°) ≈ 0.08716

Substitute these values back into the equation:

sin(45°) ≈ 0.76604 * 0.99619 - 0.64279 * 0.08716 ≈ 0.76186

So, sin(50° - 5°) ≈ 0.76186.