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formulas for precalc

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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name
formula
show f(x)=a^x  
🗑
natural exponential function   show
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n compoundings per year   show
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continuous compounding   show
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exponential growth model   show
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exponential decay model   show
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show y=ae^(((-x-b)^2)/c), b>0  
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show y=a/(1+be^(-rx))  
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logarithmic model   show
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logarithmic model   show
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show s=r * theta(in radians)  
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show arc length/time (s/t)  
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show central angle/time (theta/t)  
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show sin t=y  
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show cos t= x  
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tangent function   show
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show cot t=x/y, y can't be 0  
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cosecant function   show
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show sec t=1/y, y can't be 0  
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show # degree * pi(radians)/180(degrees)  
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converting radians to degrees   show
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finding arc length   show
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show sq rt(s*s-a*s-b*s-c)  
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law of sines   show
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law of cosines (SSS,SAS) for side a   show
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law of cosines (SSS,SAS) for side b   show
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show c^2 = a^2 + b^2 - 2ab(cos C)  
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show cos A = (b^2 + c^2 - a^2)/ 2bc  
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law of cosines (SSS,SAS) for angle B   show
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show cos C = (a^2 + b^2 - c^2)/ 2ab  
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show 1/2 cb sinA  
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area of a triangle   show
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show 1/2 ab sinC  
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show II v II or I v I = II < a,b > = sq rt (a^2 + b^2)  
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show v1 i + v2 j  
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show v = II v II (cos #)i + II vII (sin #)j  
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law of cosines (with vectors)   show
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dot products   show
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show a = r cos#  
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sin# = b/r (rewriting trig form of complex #s)   show
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show I a + bi I  
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trig form of a complex #   show
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show z1z2 = r1r2 (cos(#+$) + i sin(#+$))  
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dividing complex #s in trig form   show
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DeMoivre's Therom   show
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show n rt(z) =n rt(r) * (cos((#+2k*pi)/n) + i sin((#+2k*pi)/n))  
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show a(sub n)=a1 + d(n-1)  
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sum of a finite arithmetic sequence   show
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partial sum of an aritmetic sequence   show
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sum of a finite geometric sequence   show
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sum of an infinite geometric sequence   show
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increasing annuity   show
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