Question

Sin square theta -2cos theta + 1/4 equal to 0

Answer 1

Answer: π/3

Step-by-step explanation:

${ \sin( \alpha ) }^{2} - 2 \cos( \alpha ) + \frac{1}{4 } = 0$

$1 - { \cos( \alpha ) }^{2} - 2 \cos( \alpha ) + \frac{1}{4} = 0$

$4 { \cos( \alpha ) }^{2} + 8 \cos( \alpha ) - 5 = 0$

$we \: get \: two \: solutions$

$\cos( \alpha ) = \frac{1}{2} \: \: \cos( \alpha ) = - \frac{5}{2}$

Second case is not possible.