Question

Arcsin(-1/2)+arccos1

Answer 1

$-arcsin(0.5)+arccos1=-\frac{ \pi }{6}+0=-\frac{ \pi }{6}$

Answer 2

To calculate the value of the expression arcsin(-1/2) + arccos(1), let's break it down step by step:

1. arcsin(-1/2): The arcsin function returns the angle whose sine is equal to the given value. In this case, we have -1/2 as the input.

   Using the unit circle, we can determine that the angle whose sine is -1/2 is -π/6 (or -30 degrees). Therefore, arcsin(-1/2) = -π/6.

2. arccos(1): The arccos function returns the angle whose cosine is equal to the given value. In this case, we have 1 as the input.

   Using the unit circle, we can determine that the angle whose cosine is 1 is 0. Therefore, arccos(1) = 0.

Now, we can calculate the sum of these two angles:

-π/6 + 0 = -π/6

So, the value of the expression arcsin(-1/2) + arccos(1) is -π/6.