化简 sqrt((1+cos(4w))^2+(sin(4w))^2)

解答

化简

(1 + cos (4 w))^{2} + (sin (4 w))^{2}

2 cos (4 w) + 2

求解步骤

(1 + cos (4 w))^{2} + sin^{2} (4 w)

展开

(1 + cos (4 w))^{2} : 1 + 2 cos (4 w) + cos^{2} (4 w)

= 1 + 2 cos (4 w) + cos^{2} (4 w) + sin^{2} (4 w)

化简

1 + 2 cos (4 w) + cos^{2} (4 w) + sin^{2} (4 w) : 2 cos (4 w) + 2

= 2 cos (4 w) + 2

e x p an d (- 10, - 4, 2) x (5, 2, 0)

s im pl i f y (- a b^{0}) \times (480 - 0.24)

e x p an d ((5 x + 7) (2 x - 1)) x

e x p an d (\frac{3}{e ^{4}} + \frac{3}{e ^{16}} + \frac{3}{e ^{36}}) 2

s im pl i f y \frac{1}{3} (lo g_{3} (x^{2} y) - 2)