Busy. Please wait.

show password
Forgot Password?

Don't have an account?  Sign up 

Username is available taken
show password


Make sure to remember your password. If you forget it there is no way for StudyStack to send you a reset link. You would need to create a new account.

By signing up, I agree to StudyStack's Terms of Service and Privacy Policy.

Already a StudyStack user? Log In

Reset Password
Enter the associated with your account, and we'll email you a link to reset your password.

Remove ads
Don't know
remaining cards
To flip the current card, click it or press the Spacebar key.  To move the current card to one of the three colored boxes, click on the box.  You may also press the UP ARROW key to move the card to the "Know" box, the DOWN ARROW key to move the card to the "Don't know" box, or the RIGHT ARROW key to move the card to the Remaining box.  You may also click on the card displayed in any of the three boxes to bring that card back to the center.

Pass complete!

"Know" box contains:
Time elapsed:
restart all cards

Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

  Normal Size     Small Size show me how

Precalculus Formulas

formulas for precalc

exponential funtcion f(x)=a^x
natural exponential function f(x)= e^x
n compoundings per year A=P(1+r/n)^(nt)
continuous compounding A=Pe^(rt)
exponential growth model y=ae^(bx), b>0
exponential decay model y=ae^(-bx), b>0
Gaussian model y=ae^(((-x-b)^2)/c), b>0
logistic growth model y=a/(1+be^(-rx))
logarithmic model y=a+b ln(x)
logarithmic model y=a+b log(x)
length of a circular arc s=r * theta(in radians)
linear speed arc length/time (s/t)
angular speed central angle/time (theta/t)
sine function sin t=y
cosine function cos t= x
tangent function tan t=y/x, x can't be 0
cotangent function cot t=x/y, y can't be 0
cosecant function csc t= 1/x, x can't be 0
secant function sec t=1/y, y can't be 0
converting degrees to radians # degree * pi(radians)/180(degrees)
converting radians to degrees radians * 180(degrees)/pi(radians)
finding arc length theta/360 * 2(pi)r
heron's formula (triangle area) sq rt(s*s-a*s-b*s-c)
law of sines a/sinA=b/sinB=c/sinC
law of cosines (SSS,SAS) for side a a^2 = b^2 + c^2 - 2bc(cos A)
law of cosines (SSS,SAS) for side b b^2 = a^2 + c^2 - 2ac(cos B)
law of cosines f(SSS,SAS) or side c c^2 = a^2 + b^2 - 2ab(cos C)
law of cosines (SSS,SAS) for angle A cos A = (b^2 + c^2 - a^2)/ 2bc
law of cosines (SSS,SAS) for angle B cos B = (a^2 + c^2 - b^2)/ 2ac
law of cosines (SSS,SAS) for angle C cos C = (a^2 + b^2 - c^2)/ 2ab
area of a triangle 1/2 cb sinA
area of a triangle 1/2 ac sinB
area of a triangle 1/2 ab sinC
magnitude of v (vector) II v II or I v I = II < a,b > = sq rt (a^2 + b^2)
writing a vector sum as a linear combination v1 i + v2 j
writing vectors with direction angle(#) v = II v II (cos #)i + II vII (sin #)j
law of cosines (with vectors) cos # = (U dot V ) / ( II U II II V II )
dot products <a1,a2> dot <b1,b2> = a1b1 + a2b2
cos# = a/r (rewriting trig form of complex #s) a = r cos#
sin# = b/r (rewriting trig form of complex #s) b = r sin#
"modulous" I a + bi I
trig form of a complex # r (cos# + i sin#)
multiplying complex #s in trig form z1z2 = r1r2 (cos(#+$) + i sin(#+$))
dividing complex #s in trig form z1/z2 = (r1/r2) (cos(# - $) + i sin(# - $)), z can be 0
DeMoivre's Therom z^n= r^n (cos(n#) + i sin(n#))
nth roots of complex #s in trig form n rt(z) =n rt(r) * (cos((#+2k*pi)/n) + i sin((#+2k*pi)/n))
nth term of an arithmetic sequence a(sub n)=a1 + d(n-1)
sum of a finite arithmetic sequence Sn=(n/2)*(a1+a(sub n))
partial sum of an aritmetic sequence Sn=(n/2)*(a1+a(sub n))
sum of a finite geometric sequence Sn=(a1)*((1-r^n)/(1-r))
sum of an infinite geometric sequence S=(a1)/(1-r)
increasing annuity A=P((1+r/12)^n)
Created by: selfstudy08

Browse or Search millions of existing flashcards     Create Flashcards plus a dozen other activities