Question

if tanA - sin^2A = cos^2A then show that sin^2A = 1/2​

Answer 1

Answer:

${ \sin( \alpha ) }^{2} = \frac{1}{2}$

Step-by-step explanation:

$\tan( \alpha ) = { \cos( \alpha ) }^{2} + { \sin( \alpha ) }^{2} \\ \\ \tan( \alpha ) = 1 \\ \\ \alpha = \frac{\pi}{4} \\ \\ { \sin( \frac{\pi}{4} ) }^{2} = {( \frac{1}{ \sqrt{2} }) }^{2} = \frac{1}{2} .$