SOLUTION: Solve each equation for solutions over the interval [0 degrees, 360 degrees) . Give solutions to the nearest tenth as appropriate. Sec^2 theta tan theta=2tan theta

Algebra ->  Trigonometry-basics -> SOLUTION: Solve each equation for solutions over the interval [0 degrees, 360 degrees) . Give solutions to the nearest tenth as appropriate. Sec^2 theta tan theta=2tan theta      Log On


   



Question 867600: Solve each equation for solutions over the interval [0 degrees, 360 degrees) . Give solutions to the nearest tenth as appropriate. Sec^2 theta tan theta=2tan theta
Answer by lwsshak3(11628) About Me  (Show Source):
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Solve each equation for solutions over the interval [0 degrees, 360 degrees) . Give solutions to the nearest tenth as appropriate. Sec^2 theta tan theta=2tan theta
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sec^2(x)tan(x)=2tan(x)
cancel out tan(x)
sec^2(x)=2
1/cos^2(x)=2
cos^2(x)=1/2
cos(x)=±1/√2=±√2/2
x=45˚, 135˚, 225˚, 315˚