Question

Arcsin(-√3/2)+arccos1/2

Answer 1

Arcsin (-sqrt (3)/2) = - п/3
arccos (1/2) = п/3
В итоге: -п/3 + п/3 = 0

Answer 2

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

1. arcsin(-√3/2): The value of arcsin(-√3/2) is the angle whose sine is -√3/2. We can find this angle in the third quadrant, where the sine function is negative and equal to -√3/2. The angle in the third quadrant with this property is π/3 radians (or 60 degrees).

2. arccos(1/2): The value of arccos(1/2) is the angle whose cosine is 1/2. We can find this angle in the first quadrant, where the cosine function is positive and equal to 1/2. The angle in the first quadrant with this property is π/3 radians (or 60 degrees).

Now, the expression becomes: arcsin(-√3/2) + arccos(1/2) = π/3 + π/3 = 2π/3

So, the value of the expression arcsin(-√3/2) + arccos(1/2) is 2π/3 radians (or 120 degrees).