SOLUTION: Find all angles between 0-360 degrees 1. 100cos(2y+30degrees)=342 2. Sin 3x= -cos 66 3. 2 cosy= cot y Please help, I don't understand how to work these out at all. Thank

Algebra ->  Trigonometry-basics -> SOLUTION: Find all angles between 0-360 degrees 1. 100cos(2y+30degrees)=342 2. Sin 3x= -cos 66 3. 2 cosy= cot y Please help, I don't understand how to work these out at all. Thank      Log On


   



Question 839613: Find all angles between 0-360 degrees
1. 100cos(2y+30degrees)=342
2. Sin 3x= -cos 66
3. 2 cosy= cot y
Please help, I don't understand how to work these out at all.
Thank you

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find all angles between 0-360 degrees
1. 100cos(2y+30degrees)=342
cos(2y+30) = 3.42
Note: That is not possible because -1<= cos(x) <=1
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2. Sin 3x= -cos 66
sin(3x) = cos(90-3x) = cos(66)
Solve::
90-3x = 66
3x = 24
x = 8
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3. 2 cos(y)= cot(y)
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2cos(y) = cos(y)/sin(y)
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2 = 1/sin(y)
sin(y) = 1/2
y = 30 degrees or 150 degrees
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Cheers,
Stan H.
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