Question

Help!!! arccos(-√2/2)+п/2

Answer 1

$\frac{3\pi}{4} + \frac{\pi}{2} = \frac{5\pi}{4}$

Answer 2

Sure, I can help you with that!

The expression you provided is:

arccos(-√2/2) + π/2

Let's break it down step-by-step:

1. First, find the value of arccos(-√2/2): The arccos function (also known as the inverse cosine function) gives the angle whose cosine is the given value. In this case, we want to find the angle whose cosine is -√2/2.

The cosine function is positive in the first and fourth quadrants. Since the cosine of π/4 (45 degrees) is √2/2, and cosine is an even function (cos(-x) = cos(x)), the cosine of -π/4 is also √2/2.

So, arccos(-√2/2) = -π/4.

2. Next, add π/2 to the result: -π/4 + π/2 = π/2 - π/4

Now, let's simplify this further: π/2 - π/4 = (2π/2) - (π/4) = (4π - π) / 4 = 3π/4

So, the simplified value of the expression is 3π/4, which is approximately 2.356 radians or 135 degrees.