Question

Sin(a+20°)+sin(a-60°) a-альфа

Answer 1

Ответ:

885

Пошаговое объяснение:

Answer 2

To simplify the expression sin(a+20°) + sin(a-60°), you can use the sum-to-product trigonometric identities. Specifically, you can use the identity:

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

In this case, A = a + 20° and B = a - 60°, so:

sin(a+20°) + sin(a-60°) = 2*sin((a+20°+a-60°)/2)*cos((a+20°-(a-60°))/2)

Now, let's simplify this expression further:

1. Simplify the angles in the sine and cosine terms: = 2*sin((2a-40°)/2)*cos((80°)/2)

2. Simplify the angles inside the trigonometric functions: = 2*sin(a-20°)*cos(40°)

So, sin(a+20°) + sin(a-60°) simplifies to:

2*sin(a-20°)*cos(40°)