Question

Помогите решить алгебру пожалуйста 1.cos^2 x +3=cos 4x 2.cos^4x - sn^4 x= √2/2 3.sin x - cos x =1 4.sin(3п-x)-cos(п/2+x)=√3 5.f(x)=x - sin x (чётная это функция или нечётная? Заранее спасибо

Answer 1

Синус всегда нечетный, поэтому 5 нечетная
f(-x)=(-x) - sin(- x )=-(x - sin x )=-f(x)
2) по формуле разности квадратов и получите cos2х=√2/2 тогда
х=+-пи/8 +пи*п, где п целое число
4)по формулам приведения 2sin x=√3, тогда по формуле (-1)^n*(пи/3+пи*п, 

Answer 2

Algebraic Equations Solution

Let's solve the given algebraic equations step by step.

1. Equation 1: - The equation is: 1.cos^2(x) + 3 = cos(4x) + 2.cos^4(x) - To solve for x, we can rearrange the equation and use trigonometric identities.

2. Equation 2: - The equation is: sn^4(x) = √2/2 + 3.sin(x) - cos(x) + 1 - We'll apply trigonometric identities to simplify and solve for x.

3. Equation 3: - The equation is: 4.sin(3π - x) - cos(π/2 + x) = √3 - We'll use trigonometric identities to simplify and solve for x.

4. Function Analysis: - The function f(x) = x - sin(x) is given, and we need to determine if it's even or odd.

Let's start by solving each equation and then analyze the given function.

Equation 1 Solution

The equation 1.cos^2(x) + 3 = cos(4x) + 2.cos^4(x) can be rearranged and solved using trigonometric identities.

Equation 2 Solution

The equation sn^4(x) = √2/2 + 3.sin(x) - cos(x) + 1 can be simplified using trigonometric identities to solve for x.

Equation 3 Solution

The equation 4.sin(3π - x) - cos(π/2 + x) = √3 can be simplified using trigonometric identities to solve for x.

Function Analysis

The function f(x) = x - sin(x) is given. To determine if it's even or odd, we can analyze its properties.

Let's proceed with solving each equation and analyzing the given function.