Question

4sin(π-α)+cos((3π/2)+α) если sinα+0,3

Answer 1

4 sin α + sin α = 5 sin α
подставляем значение
5 * 0,3 = 1,5

Answer 2

To solve the problem, we'll use the following trigonometric identities:

sin(π - α) = sin π cos α - cos π sin α = 0 cos α - (-1) sin α = sin α cos(3π/2 + α) = cos 3π/2 cos α - sin 3π/2 sin α = 0 cos α - (-1) sin α = sin α

Using these identities, we can simplify the expression as follows:

4sin(π-α)+cos((3π/2)+α) = 4sinα + cos(3π/2)sinα + sin(3π/2)cosα (using the identities above) = 4sinα - 1sinα + 0cosα (since cos(3π/2) = 0 and sin(3π/2) = -1) = 3sinα

Now we just need to substitute sinα = 0.3 into the expression to get the final answer:

4sin(π-α)+cos((3π/2)+α) = 3sinα = 3(0.3) = 0.9

Therefore, the final answer is 0.9.