Question

A) sin 31°-sin 59°;​

Answer 1

Ответ на фото, так как такое трудно написать, используя раскладку клавиатуры)

Answer 2

The expression you've provided is a trigonometric expression involving the subtraction of two sine values: $\sin 31^\circ - \sin 59^\circ$. To simplify this expression, you can use the trigonometric identity for the difference of sines:

$\sin(A - B) = \sin A \cos B - \cos A \sin B$.

In this case, let $A = 59^\circ$ and $B = 31^\circ$:

$\sin(59^\circ - 31^\circ) = \sin 59^\circ \cos 31^\circ - \cos 59^\circ \sin 31^\circ$.

Now, plug in the values of $\sin 59^\circ$, $\cos 31^\circ$, $\cos 59^\circ$, and $\sin 31^\circ$ from a trigonometric table or calculator to evaluate the expression.

$\sin 59^\circ \approx 0.857$, $\cos 31^\circ \approx 0.857$, $\cos 59^\circ \approx 0.515$, $\sin 31^\circ \approx 0.515$.

So, the expression becomes:

$0.857 \cdot 0.857 - 0.515 \cdot 0.515$.

Calculating this gives approximately:

$0.734 - 0.265 = 0.469$.

Therefore, $\sin 31^\circ - \sin 59^\circ$ is approximately $0.469$.