Trig and Unit Circle
What's the radian measure of a 60 degree angle?
pi/3
Given f(x)=2x-1, evaluate f(4).
7
Evaluate
log_(2)16
4
Identify the vertical asymptote of the function y=frac(2)(x-5)+6
x=5
Solve the radical equation sqrt(x+5)=4
x=11
Identify the reference angle of 210 degrees.
30^@
Find the inverse function
f(x)=3x-7
f^-1(x)=frac[x+7][3]
Condense
3log_(2)x+log_(2)y
log_(2)x^3y
Simplify the rational expression and identify the excluded values.
y=frac[x^2-16][x^2+8x+16]
y=frac[x-4][x+4]
Excluded value is x=-4
What is the formula for continuous compounding?
A=Pe^(rt)
Evaluate the exact value of
sin(frac[2pi][3])
frac[sqrt3][2]
Given f(x)=2x-1 and g(x)=x^2+5 , find (g@f)(3) .
(g@f)(3)=30
Expand ln(4x^5y^2)
ln4+5lnx+2lny
Identify the horizontal asymptote of the function of y=frac[x-5][x+2]
y=1
Calculate the balance of a $2,000 investment at 4% interest compounded quarterly for 5 years.
Approximately $2,440.38
Convert to degrees.
frac[7pi][4]
315^@
Find the inverse function of f(x)=sqrt(x-3)+2 .
f^-1(x)=(x-2)^2+3
Solve 25^(2x-1)=125
x=1.25 or frac[5][4]
Solve the rational equation frac[4][x-3]=frac[2][x+1]
x=-5
Solve the equation sqrt(3x+1)=x-1 and check for extraneous solutions.
x=5 (x=0 is extraneous)
Evaluate.
tan(frac[11pi][6])
-frac[sqrt3][3]
Write the expression of the composition (f@g)(x) using f(x)=2x-1 and g(x)=x^2+5
(f@g)(x)=2x^2+9
Solve
log_2(x+3)=4
x=13
Find the x-intercepts for the function y=frac[x^2-5x+4][x-2]
(1,0) and (4,0)
An investment of $3,000 is compounded continuously for 10 years resulting in a balance of $4,386.85. What is the interest rate.
3.8%