Trigonometric EquationMedium
Question
The general solution of the trigonomrtirc equation sin x + cos x = 1 is diven by
Options
A.π = 2nπ; n = 0, 
1, 2...
1, 2...B.π = 2nπ + π/2; n = 0, 1, 2...
1, 2...C.x = nπ + (- 1)n
; n = 0, 1, 2...
; 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
On dividing and multiplying by √2
⇒
⇒
⇒ x = nπ + (- 1)n
, π ∈ ICreate a free account to view solution
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