SOLUTION: Find all solutions to the equation. csc theta +sqroot(2)=0 Write your answer in radians in terms of pi. theta=

Algebra ->  Trigonometry-basics -> SOLUTION: Find all solutions to the equation. csc theta +sqroot(2)=0 Write your answer in radians in terms of pi. theta=      Log On


   

Question 515093: Find all solutions to the equation.
csc theta +sqroot(2)=0
Write your answer in radians in terms of pi.
theta=
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
csc theta +sqroot(2)=0
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csc%28t%29+=+-sqrt%282%29
sin%28t%29+=+-sqrt%282%29%2F2
t = 225 degs, 315 degs
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If by "in terms of pi" you mean radians:
t = 5*pi/4 + 2*n*pi, n = ± 0,1,2,3...
t = 7*pi/4 + 2*n*pi, n = ± 0,1,2,3...