Question

помогите пожалуйста
cos2x+sin^2x=1/2

Answer 1

cos2x+sin²x=1/2
cos²x-sin²x+sin²x=1/2
cos²x=1/2
cosx=+-√2/2
Ответ:√2/2 ;-√2/2

Answer 2

cos2x= $cos^{2}x - sin^{2}x$
$cos^{2}x- sin^{2}x + sin^{2}x = frac{1}{2} cos^{2} x = frac{1}{2}$

$cosx = + frac{ sqrt{2} }{2}$

$cosx = - frac{ sqrt{2} }{2}$

Answer 3

x = +- p/4 +2pn,