SOLUTION: Hi, could you please help me with solving sin{2theta}=-cos{{7pi}/4} for 0 to 2pi Many thanks, Sam

Algebra ->  Trigonometry-basics -> SOLUTION: Hi, could you please help me with solving sin{2theta}=-cos{{7pi}/4} for 0 to 2pi Many thanks, Sam      Log On


   



Question 315698: Hi, could you please help me with solving sin{2theta}=-cos{{7pi}/4} for 0 to 2pi
Many thanks,
Sam

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
sin{2theta}=-cos{{7pi}/4} for 0 to 2pi
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7pi/4 = 315º
cos(7pi/4) = sqrt(2)/2
sin(2T) = -sqrt(2)/2
2T = 225, 315, 585, 675
2T = 5pi/4, 7pi/4, 13pi/4, 15pi/4
theta = 5pi/8, 7pi/8, 13pi/8, 15pi/8