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Circular Measurement of Angle

Solve : 2 2...

Question

Solve :
${sec}^{2} 2 x = 1 - tan 2 x$

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Solution

$S r^{2} 2 x = 1 - tan 2 x$
Use $1 + {tan}^{2} x = S r^{2} x$
$1 + {tan}^{2} 2 x = 1 - tan 2 x$
${tan}^{2} 2 x + tan 2 x = 0$
$tan 2 x (tan 2 x + 1) = 0$
$tan 2 x = 0, tan 2 x = - 1$
$x = 0, x = \frac{- π}{θ}$

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