Sommarmatte

Alla Inga Spara

• sin(u+v) sinucosv+cosusinv
• sin(u-v) sinucosv-cosusinv
• cos(u+v) cosucosv-sinusinv
• cos(u-v) cosucosv+sinusinv
• tan(u+v) (tanu+tanv)/(1-tanutanv)
• tan(u-v) (tanu-tanv)/(1+tanutanv)
• sin2u 2sinucosu
• tan2u 2tanu/(1-tan^2u)
• cos2u cos^2u-sin^2u
• sin0 0
• cos0 1
• tan0 0
• sin(pi/6) 1/2
• cos(pi/6) sqrt(3)/2
• tan(pi/6) 1/sqrt(3)
• sin(pi/4) 1/sqrt(2)
• cos(pi/4) 1/sqrt(2)
• tan(pi/4) 1
• sin(pi/3) sqrt(3)/2
• cos(pi/3) 1/2
• tan(pi/3) sqrt(3)
• sin(pi/2) 1
• cos(pi/2) 0
• tan(pi/2) ej def.
• sin(2pi/3) sqrt(3)/2
• cos(2pi/3) -1/2
• tan(2pi/3) -sqrt(3)
• sin(3pi/4) 1/sqrt(2)
• cos(3pi/4) -1/sqrt(2)
• tan(3pi/4) -1
• sin(5pi/6) 1/2
• cos(5pi/6) -sqrt(3)/2
• tan(5pi/6) -1/sqrt(3)
• sin(pi) 0
• cos(pi) -1
• tan(pi) 0
• Derivata - x^a ax^(a-1)
• Derivata - e^x e^x
• Derivata - lnx 1/x
• Derivata - sinx cosx
• Derivata - cosx -sinx
• Derivata - tanx 1/(cos^2x)=1+tan^2x
• Derivata - cotx -1/(sin^2x)=-1-cot^2x
• Derivata - arctanx 1/(1+x^2)
• Derivata - arcsinx 1/sqrt(1-x^2)
• Derivata - sqrt(x) 1/(2sqrt(x))
• (f(x)g(g))' - produktreglen f'(x)g(x)+f(x)g'(x)
• (f(x)/g(x))' - kvotregeln (f'(x)g(x)-f(x)g'(x))/(g(x)^2)
• (f(g(x)))' - kedjeregeln f'(g(x))g'(x)
• Derivata - lng(x) g'(x)/g(x)
• Integrera - x^b (x^(b+1))/(b+1)+c
• Integrera x^-1 ln(abs(x))+c
• integrera e^x e^x+c
• integrera cosx sinx+c
• integrera sinx -cosx+c
• integrera 1/cos^2x tanx+c
• integrera 1/sin^2x -cotx+c
• integrera 1/(1+x^2) arctanx+c
• integrera 1/sqrt(1-x^2) arcsinx+c
• integrera 1/sqrt(1+x^2) ln(x+sqrt(1+x^2))+c
• integrera a^x a^X/lna+c
• integrera f'(x)/f(x) ln(abs(f(x))+c
• integrera f(kx) F(kx)/k+c
• Derivatans definition lim(h->0)(f(x+h)+f(x))/h
• (a+b)^2 a^2+2ab+b^2
• (a-b)^2 a^2-2ab+b^2
• (a+b)(a-b) a^2-b^2
• a^3+b^3 (a+b)(a^2-ab+b^2)
• a^3-b^3 (a-b)(a^2+ab+b^2)
• abs(Z) sqrt(x^2+y^2)
• (cosv+isinv)^n cos(nv)+isin(nv)
• abs(z1z2) abs(z1)abs(z2)
• arg(z1z2) arg(z1)+arg(z2)
• 360 grad 2pi
• 180 grad pi
• 90 pi/2
• 45 grad pi/4
• 30 grad pi/6
• 60 grad pi/3
• 1 grad 2pi/360
• Sin(pi-v) sinv
• cos(pi-v) cosv
• sin(-v) -sinv
• cos(-v) cosv
• (cosv+isinv)^n cosvn+isinvn
• Area treangel absinc/2
• Sinussatsen för ett hörn SinA/a
• Cosiussatsen a^2=b^2+c^2-2bccosA
• Sin^2v (halva vinkeln) (1-cos2v)/v
• Cos^2v (halva vinkeln) (1+cos^2v)/2
• Cirkelns ekvation (x, x0, y, y0)) (x-x0)^2+(y-y0)^2=r^2
• Ellips ekvation (a, b, x, x0, y, y0) ((x-x0)/a)^2+((y-y0)/b)^2=1
• Hyperbel (a, b, x, y) x^2/a^2-y^2/b^2=1
• Avståndsformel mellan ett plan och en punkt abs(Ax0+By0+Cz0-D)/sqrt(A^2+B^2+C^2))

Alla Inga Spara