Logarithms
What's the expanded form of log(b)XY?
log(b)X + log(b)Y
Rewrite the angle measure in D°M′S" form.
ee
What is the domain and range of a function?
Domain - x values
Range - y values
Tan=?
Sin/Cos
Who is the best math teacher?
Mrs. Rogan!
What's the expanded form of log(b)X/Y ?
log(b)X -log(b)Y
What is the similarity property where the ambiguous case occurs?
(Hint AAA, etc)
SSA
How do you find the period of a sinusoidal function?
(2π)/|b|
Sin=?
Sin^2=1-Cos^2
Find the arc length of a circle if the radius is 12cm and θ=80°
16.8cm
Apply the logarithm power rule to this problem. (Rearrange the equation)
log(b)(X^y)
y ∙ log(b)(X)
What's the formula for the area of a triangle?
A=0.5bh
A ladder is resting on a building at 53 degrees above the ground. The length of the ladder is 189 feet. Find the height of the building to the nearest tenth.
74.8 ft
Simplify
(cos(x)sec(x))/tanx
cot(x)
A circular pizza box logo has a sector with a central angle of 40° and a diameter of 25 inches. Find the area of the sector.
The change of base formula is = log(a)B= (logB)/(logA)
Solve using change of base formula: log(12)145=?
(12 is the base)
2.00278499108
If a= 21.5ft, c=24.7ft, and B= 56.4°
What is the area of the triangle?
221.16ft^2
State the amplitude, period, phase shift, vertical shift
of y = −3cos(6x + π)+1
Amplitude = -3
Period = (2π)/6
Phase shift =1/6π to the left
Vertical shift = 1 units up
1-2sin^2x=(2cos^2x)-1
It sure is!
A roller in a conveyor belt has a radius of 15m. It is turning at a rate of 27 revolutions per minute. Find the linear (m/sec) and the angular speed (rad/sec) of the roller.
Angular speed = 2.83 rad/sec
Linear speed = 42.41 m/sec
Find X
log(7)(2x+5)=log(7)(5x-4)
(Base 7)
x=3
Identify all coterminal angles between –360° and 360° for the angle 130°.
(in degrees)
130° + 360° ×(+-) k
k is an integer
Solve the trig function for all possible values in radiants
2cos(x)sin(x)=cos(x)
x=(π/2)+πN
x = (π/6)+2πN
x = (5π/6) +2πN
N = all integers
Is the equality below true?
(sinx-cosx)(sinx+cosx)=1-3cos^2x
Nope, not this time.
What is the area of a triangle to the nearest square foot if the sides measure 78ft, 115ft, 146ft?
Hint: Find s
4457 ft^2