Question

Sin15cos30-cos15sin15=

Answer 1

Ответ:

sin15cos30-cos15sin15≈0,594324

Объяснение:

Answer 2

Ответ:

sin15cos30-cos15sin15≈0,594324

Answer 3

To solve this trigonometric expression, we can use the angle sum formula for sine:

$\sin(A + B) = \sin(A)\cos(B) + \cos(A)\sin(B)$

In this case, $A = 15^\circ$ and $B = 30^\circ$. Plugging in the values:

$\sin(15^\circ + 30^\circ) = \sin(45^\circ)$

Now, since $\sin(45^\circ) = \cos(45^\circ) = \frac{1}{\sqrt{2}}$, we have:

$\sin(15^\circ + 30^\circ) = \frac{1}{\sqrt{2}}$

So, the expression simplifies to:

$\sin(15^\circ)\cos(30^\circ) + \cos(15^\circ)\sin(30^\circ) = \frac{1}{\sqrt{2}}$

Keep in mind that I used the angle sum formula for sine and the values of sine and cosine for $45^\circ$ to simplify the expression.