Question

Sin33°⋅cos23°+cos33°⋅sin23°

Answer 1

Это формула синуса суммы:

sin(a+b) = sina*cosb + cosa*sinb;

sin33°*cos23°+cos33°*sin23° = sin(33°+23°) = sin56° ≈ 0.8290

Answer 2

To calculate the value of the expression sin(33°)⋅cos(23°) + cos(33°)⋅sin(23°), you can use the trigonometric identity for the sum of angles:

sin(A + B) = sin(A)⋅cos(B) + cos(A)⋅sin(B).

In this case, A = 33° and B = 23°, so the expression becomes:

sin(33° + 23°) = sin(56°).

Now, you need to find the value of sin(56°). You can use a calculator to find that sin(56°) is approximately 0.829.

So, the final result of the expression is:

sin(33°)⋅cos(23°) + cos(33°)⋅sin(23°) ≈ 0.829.