Question

Sin120+корень с 2*cos135

Answer 1

sin120°=sin(180°-60°)=sin60°=√3/2

cos135°=cos(180°-45°)=-cos45°=-√2/2

√3/2+√2·(-√2/2)=√3/2-√2·√2/2=√3/2-2/2=√3/2-1=(√3-2)/2

Answer 2

To evaluate the expression, let's first calculate the individual components:

1. Sin(120 degrees): Sin(120 degrees) = √3/2

2. √2 * Cos(135 degrees): Cos(135 degrees) = -√2/2 √2 * Cos(135 degrees) = √2 * (-√2/2) = -1

Now, let's add the two components:

Sin(120 degrees) + √2 * Cos(135 degrees) = √3/2 - 1

So, the final result is: √3/2 - 1.