Question

Cos x + sin (п÷2-x) + cos (п+x) =0

Answer 1

Надо использовать формулы приведении
cosx+cosx-cosx=0
cosx=0
x=п/2+пn;

Answer 2

Let's simplify the expression using trigonometric identities:

cos x + sin (π/2 - x) + cos (π + x) = 0

cos x + cos (π - x) + cos (π + x) = 0 (using sin (π/2 - x) = cos x and cos (π - x) = -cos x)

cos x - cos x + cos x cos π + sin x sin π = 0 (using cos (π + x) = -cos x and sin π = 0)

cos x - cos x - cos x = 0 (using cos π = -1 and sin π = 0)

-2cos x = 0

cos x = 0

Therefore, the solutions for the equation are all values of x such that cos x = 0, which are:

x = π/2 + kπ, where k is any integer.