Show:
Formulas
Solving
Pi...
More solving
Definitions
100
What are the sum and difference formulas?
sin (α±β) = sin α cos β ± cos α sin β ------- cos (α±β) = cos α cos β ∓ sin α sin β ------ tan (α±β) = (tan α ± tan β)/(1∓tan α tan β)
100
Solve for x and y: 2x-3y=-21 ------ 5x+6y=15
x=-3 y=5
100
What is the most recognized mathematical constant? a) value "n" b) Pi c) theta d) alpha
b) Pi
100
Find the angular velocity of 7 rotations in 12 seconds
w=θ/t ------ w=3.7 radian/min
100
What is a counterexample?
an example used to show that a given statement is not always true
200
What are the reciprocal identities?
sinθ=1/cscθ ----- cosθ=1/secθ ----- tanθ=1/cotθ --------cscθ=1/sinθ ----- secθ=1/cosθ ----- cotθ=1/tanθ
200
Solve without using a calculator: C: [2 4] [8 -4] [-2 6] ----- D: [3 -3 6] [5 4 -2]
[26 10 4] [ 4 -40 56] [24 30 -24]
200
How long has Pi been used? a) over 250 years b) 250 years c) 150 years d) less than 100 years
a) over 250 years
200
Simplify: cosx+sinxtanx
1/cosx
200
What is the discrimant?
b^2-4ac
300
What is the distance formula in polar form?
√(〖r₁〗^2+〖r₂〗^2-2r₁r₂cos(θ^2-θ^1))
300
Find the inverse of f(x): f(x)=(x+3)^2-4
f^-1(x)=-3±√(x+4)
300
What time does the Pi Day celebration start? a) 3:14 pm b) 1:59 am c) 3:14 pm d) 1:59 pm
d) 1:59 pm
300
Find the exact values of cos(375°)
√6+√2 / 4
300
What is the midline?
a horizontal axis used as the reference line for vertical shifts of the graphs of sine and cosine functions
400
What are the pythagorean identities?
sin²θ+cos²θ=1 --------tan²θ+1=sec²θ ------1+cot²θ=csc²θ
400
Solve: √(x+1)=1+√(2x-12)
x=24, 8
400
When did the Pi symbol come into standard use? a) 1500s b) 1600s c) 1700s d) 1800s
c) 1700s
400
Verify: 1+sin(2x)=(sinx+cosx)^2
1+sin(2x)-1+sin(2x)
400
What is the unit circle?
a circle of radius 1 unit whose center is at the origin of a rectangular coordinate system
500
What are the half-angle identities?
sin α/2=±√((1-cosα)/2) ------ cos α/2=±√((1+cosα)/2) ------- tan α/2=±√((1-cosα)/(1+cosα))
500
Find the three angles of the triangle when given: a=8---b=6---c=12
A=36.336°---B=26.384°---C=117.280°
500
What first digits add up to 666, also known as the "mark of the beast"? a) 144 b) 35 c) 89 d) 1243
a) 144
500
Find the cross product: X=<5, 2, 3> & Y=<-2, 5, 0>
XxY=<-15, -6, 29>
500
What is a radian?
the measure of a central angle whose sides intercept an arc that is the same length as the radius of the circle