Question

Sina/2cosa/2 a/2 отдельно упростить

Answer 1

Ответ:Sin a/2* cos a/2*cosa= 1/2*sinacosa=1/4*sin2a

Объяснение:

Answer 2

To simplify the expression "Sina/2cosa/2 a/2" (assuming you meant sin(a/2)cos(a/2) / 2), we can use trigonometric identities:

1. Double Angle Formula for Sine: sin(2θ) = 2sin(θ)cos(θ)
2. Half Angle Formula for Sine: sin(θ/2) = ±√((1 - cos(θ)) / 2)

Since we have sin(a/2)cos(a/2), we can apply the double angle formula to sin(a) to get sin(2a) and then use the half-angle formula to simplify it further. Here's the step-by-step simplification:

1. Use Double Angle Formula for Sine: sin(a) = 2sin(a/2)cos(a/2)

2. Divide both sides by 2cos(a/2): sin(a)/2cos(a/2) = sin(a/2)

Now, we have sin(a)/2cos(a/2) = sin(a/2).

So, the simplified expression is sin(a/2).