Probability
Trig Identities & Eq.
Misc. Trigonometry
logarithmic functions
Conics
100

The probability of rolling one die & obtaining an odd or a number less than 4

What is 2/3 ?

100

The simplified form of: sin (─ θ) / cos (─ θ)


What is: ─ tan (θ)?

100

In a right triangle where a = 42 and b = 34, the measure of angle A is

What is 51 degrees?

100

log3 4 = x written in exponential form is

3x = 4

100

The conic that is represented by the equation 4x2 + y2  ─ 8x  ─  2y =  ─ 1

What is an ellipse?

200

The number of ways to arrange the letters in POOPERSOOPER

What is 831,600

200

The solutions (in degrees) to the equation:  2 cos2 (x)   ─ 1 = 0


What are 45, 135, 225, 315?

200

In a triangle, the solution for side b when B = 78o, A = 58o, and a = 33

What is 38

200

The solution to:  6−log(x+2)=5

What is x = 8

200

The coordinates of the focus and the equation of the directrix for y2 = ─12x

What is (─3, 0); x = 3

300

The number of ways that the president, vice-president, secretary and treasurer can be chosen from a group of 20 people

What is 116280

300

The simplified form (after factoring) of the expression tan2 x  ─ tan2 x sin2 x


What is sin2 x

300

In a triangle, the solution for angle B when angle C = 102o, b = 21, and c = 24

What is 58.9o

300

The domain of the function y = log (x + 2) 

What is x >  ─ 2?

300

The standard form equation of ellipse with verticies (3,  ̶  7) and (3, 3) with minor axis length 6

What is (x  ̶  3)2 /9  + (y + 2)2 /25 =1

400

The probability rounded to 5 decimal places of choosing exactly 2 hearts and 3 clubs in a 5-card hand from a deck of 52 cards

What is 0.00858

400

The solutions (in radians) to the equation: ─ 4 = ─2 + 2 tan(x)


What are 3π/4, 7π/4?

400

In a triangle, the solution for angle C when b = 10, a = 15 and c = 19

What is 96.9 degrees?

400

The solution(s) to:  log x2 = 2

What is x = +/- 10

400

The center and radius of the circle in standard form x2 + y2 + 2x  ─ 4y  ─ 9 = 0

What is ( ─ 1, 2);  sqrt 14

500

The probability rounded to 5 decimal places of choosing exactly 2 kings and 1 ace in a 5-card hand from a deck of 52 cards

What is 0.00874

500

The simplified form of: csc(x) sec(x) ─ tan(x)

What is cot(x)

500

When evaluating:  sin─1(cos ─2π/3)

What is ─ π/6

500

The solution to:  ln(3x ─ 2) + ln(x─1) = 2ln(x)

x = 2 only

500

The equation of the parabola with vertex at (2, 3) and focus at (5, 3)

What is (y  ̶  3)2 = 12( x  ̶  2) ?