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Exponential and Logarithmic Functions
Rational Equations and Functions
Trigonometric Ratios and Functions
Trigonometric Graphs, Identities, and Equations
Potpourri
100
This is the base of the common logarithm.
What is 10?
100
These are the vertical and horizontal asymptotes of the function y = (4-3x)/(2x-1).
What is x = 1/2 and y = -3/2?
100
In a right triangle, if a side with length 11 is across from a 60 degree angle, then the length of the hypotenuse is this.
What is 22
√
3
/3?
100
2sinxcosx simplified is this.
What is sin2x?
100
The area of a triangle with side lengths 11, 19, and 24 is this.
What is
√
10368
or 72
√
2
?
200
In order to solve an equation with a variable in the exponent, you must do this.
What is take the log of both sides of the equation?
200
This is the sum of (3x+4)/(x
2
-25) and 2/(x+5).
What is (5x-6)/(x
2
-25)?
200
-130 degrees converted to radians is this.
What is -13π/18?
200
This is the amplitude and period of the graph of y = -3 sin 4x.
What is 3 and π/2?
200
If angle A is in the third quadrant with sin A = -8/17, then the exact value of cos2A is this.
What is 161/289?
300
When log 2 + 3 log x - log y is condensed it becomes this.
What is 2x
3
/y?
300
This is the difference of (4x-5)/(x
2
-36) and 3/(x+6).
What is (x+13)/(x
2
-36)?
300
The tan (-5π/4) is this.
What is -1?
300
cos(π/2 - x)cscx simplified is this.
What is 1?
300
The exact value of the tangent of 15 degrees is this.
What is 2 -
√
3
?
400
When 4
2x+3
= 64
3x-5
is solved for x, the solution is this.
What is 18/7?
400
When -3/(x-2) = 1 - (12/(x
2
-4)) is solved for x, the solution is this.
What is -5?
400
If tan x = -5/12 in the second quadrant, then sin x is equal to this.
What is 5/13?
400
4sin
2
x - 1 = 0 in the interval 0 to 2π is this.
What is π/6, 5π/6, 7π/6, and 11π/6?
400
If you are given angle-angle-side of a triangle, you would use this to solve the triangle.
What is the Law of Sines?
500
When log(4x
3
y
2
)/z
5
is expanded, it becomes this.
What is log 4 + 3 log x +2 log y - 5 log z?
500
When the complex fraction (3/(x+1)-4/x)/(4/(x+1)+3/x) is simplified, it simplifies to this.
What is (-x-4)/(7x+3)?
500
What is the arc length of a sector with a radius of 4 cm and a central angle of 80 degrees?
What is 16π/9 cm?
500
cos(A + B) has a value of this given that sin A = 7/8 in the second quadrant and cos B = 3/7 in the fourth quadrant.
What is -3
√
15
/56 + 14
√
10
/56 ?
500
The range of the graph of f(x) = 2
x+3
-1 is this.
What is y > -1?