Question

Вычислите 1-sin^4 22°30´+cos^4 22°30´

Answer 1

$1-Sin ^{4} 22 ^{o} 30'+Cos ^{4} 22 ^{o}30' = 1 - (Sin ^{4} 22 ^{o}30' - Cos ^{4} 22 ^{o}30')=$$1-(Sin ^{2} 22 ^{o}30' -Cos ^{2}22 ^{o}30')(Sin ^{2}22 ^{o} 30'+Cos ^{2}22 ^{o}30')=1$$+Cos45 ^{o} = 1+ frac{ sqrt{2} }{2} = frac{2+ sqrt{2} }{2}$

Answer 2

спасибо большое)