Trigonometry
Use it when you know want to know the opposite leg and you know the measure of the angle and other leg.
What is Tangent?
sin pi
0
What is the slope of the line between (1,1) and (13,12)?
11/12
State the period and amplitude of
y=2tan(pix)
Amplitude = 2, Period = 1
Point in the plane definition of sine.
What is y/r?
Alternative answer: what is
y/sqrt(x^2+y^2)
lne^7
7
Solve:
4^(x+3)=16^(5x)
x=1/3
Is this graph of this function increasing or decreasing?
f(x)=4^(-x)
decreasing, because the function is equivalent to
f(x)=(1/4)^x
If a vector starts at the point (-4, - 2) and goes through the point (2, 4), then the component form of the vector is
What is the vector <6,6>?
Complete the identity: ______ + 1 = cot^2 x
csc^2x
f(x)=3x^2+5
when x=0
5
Describe the transformation:
y = -2(x - 3)^2 + 5.
What is a reflection over the x-axis, vertical stretch by 2, right 3, up 5?
State the domain of this function:
(x^2 +2)/(2x^2 - 5x - 3)
R, x cannot equal -1/2, 3
log_2 (1/8)
-3
Solve:
log_2(x+3)=5
x=29
State the vertical asymptotes of this function:
x / (x^2-3x+2)
x=2, x=1
Given that C=102.3o, B=28.7o, b = 27.4, find A
A = 49
The angle of elevation of the sun when a 7.6 meter flagpole casts an 18.2 meter shadow, rounded to the nearest degree.
What is 22.7 m?
Evaluate the cubed complex number as follows, and express it in standard (rectangular) form:
(2+2i)^3
-16+16i
Solve on [0, 2pi):
2sin^2 x - 3sin x +1 =0
x = pi/6, (5pi)/6, pi/2
State the horizontal asymptote of this function:
(3x^2)/(x^3-4x+3)
y=0
Write the complex number
-\sqrt3+i
in polar form
What is
2(cos((5pi)/6)+isin((5pi)/6))