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How do you solve $csc^2x-2cot^2x=0$ ?

1 Answer

Oct 5, 2016

$1/sin^2x - (2cos^2x)/sin^2x = 0$

$(1 - 2cos^2x)/sin^2x = 0$

$csc^2x(1 - 2cos^2x) = 0$

$csc^2x = 0" "AND" "cosx = +-1/sqrt(2)$

$x = 45˚, 135˚, 225˚, 315˚$

Hopefully this helps!

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