Beat the Topic

Trigonometric Functions

100

sinA = 

opposite/hypotenuse 

200

What is the inverse function of sinθ= a

sin^-1a= θ

300

The trigonometric function that is defined by the ratio of the length of adjacent over hypotenuse is known as

cosine

400

The trigonometric functions are defined in a traingle

right angled 

500

Solve for θ on the interval 0 ≤ 0< 2π 4sin²θ-4sinθ+4=3

θ=π/6, 5π/6

Conic sections system of equations and matrics

100

(x-2)²+y²=36

(2,0) r=6

200

x²+y²-8x+2y-19=0

c=(4,-1) r=6

300

What is the equation of the circle with the center at (4,-5) and a point on the circle at (4,-2)? What is the radius?

(x-4)²+(y+5)²=9  r=3

400

Write the equarion of the conic section in standard form -x²+16y²+96y+128=0

(y+3)²-x²/16=1

500

27x²+16y²+324x-96y+684=0

(-6,3 + √ 11) (-6,3 - √ 11)

Sequences, Series, and Limits

100

find the sum -3, -6, -12, -24

s4= -45

200

Find the 46th term of the arithmetric sequence 3, 8, 13, 18, 23, 28, 33

228

300

expand the binomial (x+3)³

x³+9x²+27x+27

400

expand (2x+37)³ using pascals triangle 

8x³+36x²y+54xy²+27y³

500

5, -10, 20, -40, 80 8th term of the geometric sequence 

-640

Functions, Transformations and Graphs

100

What is the equation of the line that passes through the points (0,2) and (4,7) (y=mx+b)

y = 5/4x+2

200

Determine the equations of a line that passes through the points (6,6) and (0,5) 

y= 1/6x+5

300

Find the equation of the line with slope m=2m=2 that passes through the point (5/4,3) 

y= 2x+1/2

400

What equation is perpendicular to y= 5x+2 and passes through (6,10) 

y= -1/5x+56/5

500

What is the slope of the line below? y= 2/3x+6

2/3

Polynomial, Rational, Exponential, and Logarithmic Equations

100

10^2x=64

log(8)

200

log₄64

3

300

log₂(p-7)+log₂(p) = 3

p=8

400

f(x) = log₁₀(1+√ -6=3x)

(-∞, -2 ]

500

10^3x=100(10)^3x=100

x=2/3