SOLUTION: Please help me with the problem below: Solve the equation and find all real solutions: (sinx +cosx)^2 = 1

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Question 1000865: Please help me with the problem below:
Solve the equation and find all real solutions:
(sinx +cosx)^2 = 1

Answer by ikleyn(52797)   (Show Source): You can put this solution on YOUR website!
.
Solve the equation and find all real solutions:
(sinx +cosx)^2 = 1.
------------------------------------

Open parentheses and then simplify

= ,

1 + 2*sin(x)*cos(x) = 1,       <------ =

2*sin(x)*cos(x) = 0,

sin(2x) = 0,                         (formula of the double argument for sine)

2x = ,   k = 0, +/- 1, +/- 2, . . . (integers)

x = .


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