Question

2sin 15градусов cos15 градусов

Answer 1

2 * sin15° * cos15° = sin(2 * 15°) = sin30° = 0.5

Answer 2

To find the value of the expression 2sin 15 degrees cos 15 degrees, we can use the trigonometric identity:

sin 2θ = 2sinθ cosθ

Here, θ = 15 degrees. Therefore, we can rewrite the expression as:

2sin 15 degrees cos 15 degrees = sin 30 degrees

Now, the sine of 30 degrees is a well-known value. It is equal to 1/2. Hence:

2sin 15 degrees cos 15 degrees = sin 30 degrees = 1/2

Therefore, the value of the expression 2sin 15 degrees cos 15 degrees is 1/2.