Is the function f (x) = sin [π / 2 (x-3)] odd or even? And then why?

Is the function f (x) = sin [π / 2 (x-3)] odd or even? And then why?

f(x)=sin[π/2(x-3)]=sin(πx/2-3π/2)=cosπx/2
f(-x)=cos(-πx/2)=cos(πx/2)=f(x)
F (x) even function

F (x) = sin (x + a) + cos (x-a) is even function, find [2A - (3 / 2) times 180 degrees]

Sum difference product sin (x + a) + cos (x-a) = sin (x) * cos (a) - sin (a) * cos (x) + cos (x) * cos (a) + sin (x) * sin (a) = sin (x) * [cos (a) + sin (a)] + cos (x) * [cos (a) - sin (a)] even function f (x) = f (- x) sin (x) = - sin (- x), cos (x) = cos (- x) sin (x + a) + cos (x-a) = sin (- x + a)

What is the function y = cos (15 π / 2-2 / 3x) a, odd function B, even function C, odd and even function D, non odd and non even

A

If the function y = 2Sin (3x + φ) is even, then the set of values of φ is ()
A. {φ|φ=2kπ+π2，k∈Z}B. {φ|φ=kπ-π2，k∈Z}C. {φ|φ=2kπ，k∈Z}D. {φ|φ=kπ，k∈Z}

The function y = 2Sin (3x + φ) is even, so when x = 0, the function gets the extremum, that is, φ = k π - π 2, K ∈ Z, so B

How to solve the equation 4x + (X-8) × 5 = 401

4x+(x-8)x5=401
4x+5x-40=401
4x+5x =401+40
9x=451
x=49

How to solve the equation of 0.4x + 2.8-4.4 = 0?

4X = 4.4-2.8
0.4x=1.6
x=1.6÷0.4=4

"(4x-26): (x + 26) = 7:5" how to solve this equation!

1, (4x-26): (x + 26) = 7:52, becomes fraction 3, diagonal multiplication: 5 (4x-26) = 7 (x + 26) 4, 20x-130 = 7x = 1825, the solution is x = 24

4x-1/3=2-1/3

4X = 2
The coefficient is 1: x = 1 / 2

How to solve the equation of 3 / 4x-66 = 1 / 5x

3/4X-66=1/5X
3/4X - 1/5X = 66
11/20X = 66
X = 66 * 20/11 = 120

In the following equations, only one explanation is () a {x + y = 1, B {x + y = 0, C {x + y = 1, D {x + y = 1 {3x + 3Y = 0 {3x + 3Y = - 2 {3x-3y = 4
In the following equations, only one explanation is () a {x + y = 1 {3x + 3Y = 0, B {x + y = 0 {3x + 3Y = - 2, C {x + y = 1 {3x-3y = 4, D {x + y = 1 {3x + 3Y = 3

c