Exp. and Log.
Evaluate
log(10^12)
12
What is the reference angle of 165 degrees?
15 degrees
What is the exact value of
sin(30^\circ)?
1/2
What kind of conic section is the following?
(x+4)^2/81+(y+2)^2/16=1
Ellipse
What is the domain of any exponential function?
All real numbers
If cosecant is negative, cotangent is positive, and secant is positive, then in which quadrant does the angle lie?
Quadrant III
Simplify the expression
sin(90^\circ-x)/tan(90^\circ-x)
sin(x)
Where is the center of the following hyperbola?
x^2/81-(y+7)^2/81=1
(0,-7)
What is the range of the function
-e^(x+7)
All negative real numbers
What is the period of the graph
y=4cos(x/2)-5?
4\pi
If,
csc(\theta)=-4, cos(\theta)<0
then what is
cos(\theta)?
cos(\theta)=-\sqrt(15)/4
Where are the vertices of the following ellipse?
(x-3)^2/4+(y-6)^2/36=1
(3,12), (3,0)
Solve the equation
3^(x+8)=9^(2x)
x=8/3
What is the range of the function
f(x)=-sin(x+\pi/2)?
-1<=y<=1
Find the exact value of
tan(165^\circ)
\sqrt(3)-2
What is the equation of a parabola with its vertex at (1, 3) and focus at (1, 5)?
(y-3)=8(x-1)^2
Solve the equation
log_2(x-1)+1=log_2(x+3)
x=5
Solve the triangle above given that
a=8, A=22^\circ, C=70^\circ
Round your answers to the nearest tenth.
B=88^\circ,b=21.3,c=20.1
Find all the solutions of the following equation on the interval
[0,2\pi]
4cos^2(\theta)+2=3
\theta=60^\circ,120^\circ,240^\circ,300^\circ
Convert the conic section to its standard form.
x^2+4y^2-2x-24y+34=0
(x-1)^2/3+4(y-3)^2/3=1