Sin π+3 cos π/3+4 sin 30°

Предыдущий
вопрос Следующий
вопрос

To evaluate the expression, we first need to simplify each term:

sin π
Since sine is positive in the second and third quadrants, sin π = sin(180°) = 0.

3 cos(π/3)
Using the unit circle, we know that cos(π/3) = 1/2. Therefore, 3 cos(π/3) = 3 (1/2) = 3/2.

4 sin 30°
Using the unit circle, we know that sin(30°) = 1/2. Therefore, 4 sin(30°) = 4 (1/2) = 2.

Now we can substitute these values back into the original expression:

sin π + 3 cos(π/3) + 4 sin 30°
= 0 + 3/2 + 2
= 3/2 + 2
= 1.5 + 2
= 3.5

Therefore, sin π + 3 cos(π/3) + 4 sin 30° = 3.5.