Question

Arcsin(-1)-arccos(-1)=

Answer 1

!!!!!!!!!!!!!!!!!!!!!!!

Answer 2

Если использовать таблицу, то возможно решение без предварительных преобразований

Answer 3

To calculate the value of the expression arcsin(-1) - arccos(-1), let's first find the individual values of each term:

1. arcsin(-1): The arcsin function returns the angle whose sine is equal to the given value. Since the sine of -1 is -1, we are looking for an angle whose sine is -1. This corresponds to an angle of -π/2 (negative 90 degrees).

2. arccos(-1): The arccos function returns the angle whose cosine is equal to the given value. Since the cosine of -1 is also -1, we are looking for an angle whose cosine is -1. This corresponds to an angle of π (180 degrees).

Now, we can calculate the expression:

arcsin(-1) - arccos(-1) = (-π/2) - π

To simplify this, find a common denominator for the two terms:

arcsin(-1) - arccos(-1) = (-π/2) - (2π/2) = (-3π/2)

So, the value of the expression arcsin(-1) - arccos(-1) is -3π/2 (approximately -4.71239 radians).