Question

Sin15*cos30+cos15*sin15

Answer 1

Cos39xкор 6-cos 30xкор2/4+cos(15)sin(15)

Answer 2

To simplify the expression sin(15) * cos(30) + cos(15) * sin(15), you can use the trigonometric identity for the sine of a double angle, which states that sin(2θ) = 2sin(θ)cos(θ). In this case, θ is 15 degrees:

sin(15) * cos(30) + cos(15) * sin(15) = 2 * sin(15) * cos(15)

Now, you can use the double angle identity for sine, which is sin(2θ) = 2sin(θ)cos(θ):

2 * sin(15) * cos(15) = sin(30)

Now, we know that sin(30 degrees) is equal to 1/2:

sin(30) = 1/2

So, the simplified expression is 1/2.