Question

Cos(α -π/4)-cos(α -π/4) помогите!!!

Answer 1

ответ 0
т.к. cos(α -π/4)-cos(α -π/4)=0

Answer 2

To simplify the expression cos(α - π/4) - cos(α - π/4), we can apply the trigonometric identity for the difference of cosines:

cos(A) - cos(B) = -2 * sin((A + B)/2) * sin((A - B)/2)

In this case, A = α - π/4 and B = α - π/4. So we get:

cos(α - π/4) - cos(α - π/4) = -2 * sin((α - π/4 + α - π/4)/2) * sin((α - π/4 - (α - π/4))/2)

Since (α - π/4 + α - π/4)/2 = (2α - 2π/4)/2 = α - π/4 and (α - π/4 - (α - π/4))/2 = 0, the expression becomes:

-2 * sin(α - π/4) * sin(0)

Now, sin(0) is equal to 0, so the entire expression becomes:

-2 * sin(α - π/4) * 0 = 0

Therefore, the simplified expression is 0.