Question

Sin32°sin28°-cos32°cos28°

Answer 1

на фото........................

Answer 2

To calculate the value of the expression sin(32°)sin(28°) - cos(32°)cos(28°), we can use the trigonometric identity:

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

So, in this case, we can rewrite the expression as follows:

sin(32°)sin(28°) - cos(32°)cos(28°) = cos(32° - 28°)

Now, we calculate the value of cos(32° - 28°):

cos(32° - 28°) = cos(4°)

To find the value of cos(4°), you can use a calculator or trigonometric tables. Using a calculator, we get:

cos(4°) ≈ 0.999391

So, the final value of the expression is approximately:

sin(32°)sin(28°) - cos(32°)cos(28°) ≈ 0.999391