vereinfachen (sin(x))^2+(6+cos(x))^2

Lösung

vereinfachen

(sin (x))^{2} + (6 + cos (x))^{2}

12 cos (x) + 37

Schritte zur Lösung

sin^{2} (x) + (6 + cos (x))^{2}

Schreibe

(6 + cos (x))^{2}

um:

36 + 12 cos (x) + cos^{2} (x)

= sin^{2} (x) + 36 + 12 cos (x) + cos^{2} (x)

Verwende die Pythagoreische Identität:

cos^{2} (x) + sin^{2} (x) = 1

= 12 cos (x) + 36 + 1

Addiere die Zahlen:

36 + 1 = 37

= 12 cos (x) + 37

e x p an d (x^{2} + y^{2} + 1) \frac{d x}{d y}

e x p an d \frac{12 x ^{2} - 31 x + 4}{( x - 4 ) ( x ^{2} + 2 )}

s im pl i f y (x + 4 - 1)^{2}

e x p an d \frac{1 - s - e ^{- s}}{s ( s ^{2} + 4 )}

e x p an d (- 5, - 6) zero