Trigonometric EquationHard

Question

The general solution of the trigonomrtirc equation sin x + cos x = 1 is diven by

Options

A.π = 2nπ; n = 0, 1, 2...
B.π = 2nπ + π/2; n = 0, 1, 2...
C.x = nπ + (- 1)n; n = 0, 1, 2...
D.None of the above

Solution

Given,       sin x + cos x = 1
On dividing and multiplying by √2

⇒      
⇒      
⇒       x = nπ + (- 1)n , π ∈ I

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