Question

Sin5°-sin55°)))))))))))

Answer 1

0.04083089869 воооооооот

Answer 2

Calculating sin(5°) - sin(55°)

To calculate the value of sin(5°) - sin(55°), we can use the trigonometric identity that states sin(a) - sin(b) = 2 * cos((a + b)/2) * sin((a - b)/2). Let's calculate it step by step.

First, we need to find the values of cos((a + b)/2) and sin((a - b)/2) for a = 5° and b = 55°.

Using the trigonometric identity: sin(5°) - sin(55°) = 2 * cos((5° + 55°)/2) * sin((5° - 55°)/2)

Now, let's find the values of cos(30°) and sin(-25°).

Calculations:

Using the trigonometric identity: sin(5°) - sin(55°) = 2 * cos(30°) * sin(-25°)

From the provided search results, we can see that cos(30°) = 0.866 and sin(-25°) = -0.422.

Result:

Therefore, sin(5°) - sin(55°) ≈ 2 * 0.866 * (-0.422) ≈ -0.734.

So, sin(5°) - sin(55°) is approximately -0.734.