Question

Arcsin (-1) + arccos√3/2

Answer 1

Ответ:

решение задания смотри на фотографии

Answer 2

To calculate the value of the expression arcsin(-1) + arccos(√3/2), we can use the trigonometric identities and values.

The arcsin function returns an angle whose sine is equal to the given value. So, arcsin(-1) gives us the angle whose sine is -1. Since the sine of -1 is -π/2 or -90 degrees.

The arccos function returns an angle whose cosine is equal to the given value. So, arccos(√3/2) gives us the angle whose cosine is √3/2. This value corresponds to π/6 or 30 degrees.

Now, let's add these angles: -π/2 + π/6 = -3π/6 + π/6 = -2π/6 = -π/3 or -60 degrees.

Therefore, the value of the expression arcsin(-1) + arccos(√3/2) is -π/3 or -60 degrees.