SOLUTION: Solve the equation. List all solutions on the interval (0,2pi) Problem: sin(x) + cos (x) = 1

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Question 967123: Solve the equation. List all solutions on the interval (0,2pi)
Problem: sin(x) + cos (x) = 1
Answer by lwsshak3(11628) About Me  (Show Source):
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Solve the equation. List all solutions on the interval (0,2pi)
Problem: sin(x) + cos (x) = 1
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sin(x) + cos (x) = 1
sqrt%281-sin%5E2%28x%29%29=1-sinx
square both sids
1-sin^2(x)=1-2sinx+sin^2(x)
2sin^2(x)-2sinx=0
2sinx(sinx-1)=0
..
2sinx=0
no solution(not in domain)(0 is not included in given interval)
or
sinx-1=0
sinx=1
x=π/2