Miscellaneous Trig: NO CALCULATOR
Unit Circle: NO CALCULATOR
Inverse Trig: NO CALCULATOR
Graphs: NO CALCULATOR
Throwback: NO CALCULATOR
100
What is the reciprocal of cosecant?
Sine
100
cos(5π/3)=
1/2
100
cos(cos^-1(-1/2))=
-1/2
Arccosine of -½ is an angle located between 0 and π with an x-value of -½.
Cosine is -½ at 2π/3.
Then find cosine of 2π/3.
=-1/2
100
State the amplitude.
y = -⅓cos(πx)-8
1/3
Amplitude is always positive
100
State the end behavior of the function without a calculator.
y=-4x^3+x^2+x-1
200
Convert to degrees.
(7pi)/18
70 degrees
200
tan(3π/4)=
-1
200
tan^-1(-sqrt3)=
-π/3
5π/3=-π/3
200
Write the equation of a cosine function with amplitude 3, period 2 and phase shift 1 to the right.
y=3cos(πx-π)
200
Factor.
2x^2-5x-12
(x-4)(2x+3)
300
Given sinθ=-1/2 and π<θ<3π/2, what is θ?
7π/6
300
csc(11π/6)=
-2
300
sin^-1(sin((7pi)/6))=
-π/6
Sine of 7π/6 is -½.
Arcsine of -½ is an angle located between -π/2 and π/2 with a y-value of -½.
11π/6 is the angle but it’s not between -π/2 and π/2.
11π/6 = -π/6
300
Write the equation of the graph.
y=2sin(1/4x)
300
Evaluate.
lne^4
4
400
NO CALCULATOR: A tree casts a shadow that is 150 feet long. If the angle of elevation from the tip of the shadow to the top of the tree is 30 degrees, how tall is the tree? Give an exact answer.
50sqrt3 ft
tan(30°)=x/150
sqrt3/3=x/150
150sqrt3/3=x
400
cotπ=
undefined
400
sin^-1(cos((11pi)/6))=
π/3
Cosine of 11π/6 is √3/2.
Arcsine of √3/2 is an angle located between -π/2 and π/2 with a y-value of √3/2.
400
What are the vertical asymptotes of the tangent parent function?
k is an integer
x=pi/2+kpi
400
Evaluate.
log_5(25)^4
log_5(25)^4=4log_5(25)
log_5(25)=2
4*2=8
500
Draw and label the side lengths of a 45-45-90 triangle in terms of s.
500
tan(4π/3)=
sqrt3
500
sin(cos^-1(-sqrt3/2))=
1/2
Arccosine of -√3/2 is an angle located between 0 and π with an x-value of -√3/2.
Cosine is -√3/2 at 5π/6.
Then find sine of 5π/6.
500
State the period and phase shift of the function.
y=tan(1/2x-3)+2
Period=2π, Phase shift=+6 (right)
500
State the hole(s) of the function f(x). Include input and output values.
f(x)=(2x^3-2x^2-12x)/(x^2+x-6)
There are none.
f(x)=(2x(x+2)(x-3))/((x-2)(x+3))