SOLUTION: sin(x+40)+sin(x+50)=0

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Question 949440: sin(x+40)+sin(x+50)=0
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

sin%28x%2B40%29%2Bsin%28x%2B50%29=0

0.642787cos%28x%29%2B0.766+sin%28x%29+%2B0.766+cos%28x%29%2B0.642787+sin%28x%29=0
0.642787cos%28x%29%2B0.766+cos%28x%29%2B0.766+sin%28x%29+%2B0.642787+sin%28x%29=0
1.408787cos%28x%29%2B1.408787+sin%28x%29=0
1.408787cos%28x%29%2F1.408787%2B1.408787+sin%28x%29%2F1.408787=0%2F1.408787
cos%28x%29%2B+sin%28x%29=0

x+=+pi%2An-pi%2F4, for all +n element Z -> often used to denote the set of all integers (Z standing for the German word Zahlen which means "numbers" )
check for these values:
if
n=-1 , then x+=+-pi%2A1-pi%2F4=> x+=+-5pi%2F4
n=0 , then x+=+pi%2A0-pi%2F4=> x+=+-pi%2F4
n=1 , then x+=+pi%2A1-pi%2F4=> x+=+3pi%2F4....and so on