Question

Вычислить 2sin (-45)+cos(-45)+2sin(-30)

Answer 1

=-2sin(45)+cos(45)-2sin(30)=-sin45-2sin30=-√2/2-2*1/2=-(√2+2)/2≈-1,707

sin(45)=cos(45)

Answer 2

To compute the value of the expression, we'll first evaluate the trigonometric functions at their respective angles and then perform the addition.

Recall the values of sine and cosine for the given angles:

sin(-45°) = -sin(45°) = -√2/2 cos(-45°) = cos(45°) = √2/2 sin(-30°) = -sin(30°) = -1/2

Now, let's substitute these values into the expression:

2sin(-45°) + cos(-45°) + 2sin(-30°) = 2(-√2/2) + √2/2 + 2(-1/2) = -√2 + √2 - 1 = 0 - 1 = -1

So, the final result is -1.