Question

Arcsin 0,5 +arccos(-1) - arccos0 - arctg1 =​

Answer 1

Ответ:

Пошаговое объяснение:

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Answer 2

To find the value of the expression arcsin(0.5) + arccos(-1) - arccos(0) - arctan(1), we can evaluate each individual term and then sum them up.

1. arcsin(0.5): The arcsin function returns the angle whose sine is equal to the given value. In this case, arcsin(0.5) is equal to π/6 (or 30 degrees).

2. arccos(-1): The arccos function returns the angle whose cosine is equal to the given value. In this case, arccos(-1) is equal to π (or 180 degrees).

3. arccos(0): Similar to the previous term, arccos(0) is equal to π/2 (or 90 degrees).

4. arctan(1): The arctan function returns the angle whose tangent is equal to the given value. In this case, arctan(1) is equal to π/4 (or 45 degrees).

Now let's substitute these values back into the original expression:

π/6 + π - π/2 - π/4

To simplify the expression, we need to find a common denominator for π/6, π/2, and π/4, which is 12π:

(2π + 6π - 6π - 3π) / 12π

Now we can simplify the numerator:

-π / 12π

Finally, we can cancel out the common π terms:

-1/12

Therefore, the value of the expression arcsin(0.5) + arccos(-1) - arccos(0) - arctan(1) is -1/12.