Question

1) sinx + sin2x= 2cos2x + cosx; ?

Answer 1

Ответ:

0,0

Объяснение:

sinx+sin2x=0

cos2x+cosx=0

Answer 2

To determine if the equation sin(x) + sin(2x) = 2cos(2x) + cos(x) is true, we can use trigonometric identities to simplify both sides of the equation and see if they are equal.

Let's start by working with the left side of the equation:

sin(x) + sin(2x)

Now, use the double angle identity for sine:

sin(2x) = 2sin(x)cos(x)

So, the left side of the equation becomes:

sin(x) + 2sin(x)cos(x)

Next, let's simplify the right side of the equation:

2cos(2x) + cos(x)

Use the double angle identity for cosine:

cos(2x) = 2cos^2(x) - 1

So, the right side of the equation becomes:

2(2cos^2(x) - 1) + cos(x)

Now, expand and simplify:

4cos^2(x) - 2 + cos(x)

Now, let's compare both sides of the equation:

Left side: sin(x) + 2sin(x)cos(x)

Right side: 4cos^2(x) - 2 + cos(x)

At this point, the two sides of the equation are not equal. Therefore, the equation sin(x) + sin(2x) = 2cos(2x) + cos(x) is not true for all values of x.