Question

Sin 38° cos 22° + cos 38° sin 22°​

Answer 1

Ответ:

решение смотри на фотографии

Answer 2

To simplify the expression sin(38°)cos(22°) + cos(38°)sin(22°), you can use the trigonometric identity for the sine of the sum of two angles:

sin(A + B) = sin(A)cos(B) + cos(A)sin(B)

In your expression, A = 38° and B = 22°. So, you can rewrite the expression as:

sin(38° + 22°)

Now, add the angles:

38° + 22° = 60°

So, the simplified expression is:

sin(60°)

The sine of 60 degrees is √3/2. So:

sin(60°) = √3/2

Therefore, sin(38°)cos(22°) + cos(38°)sin(22°) simplifies to √3/2.