Trigonmetry
Evaluate
Equations
Graphing
Miscellaneous
100

Complete the identity: ______ + 1 = cot^2 x

csc^2 x

100
log base 2 of 1/8
-3
100
Solve on [0, 2pi): tanx = -1
x = 3pi/4, 7pi/4
100
Is this graph of this function increasing or decreasing? f(x)=4^(-x)
decreasing (because equivalent to f(x)=(1/4)^x)
100
State the domain of this function: (x^2 +2)/(2x^2 - 5x - 3)
R, x cannot equal -1/2, 3
200
Solve on [0, 2pi): sec x + 2 = 0
2pi/3, 4pi/3
200
ln e^7
7
200
Solve: 4^(x+3) = 16^(5x)
x=1/3
200
State the vertical asymptotes of this function: x / (x^2-3x+2)
x=2, x=1
200
Given that C=102.3, B=28.7, b = 27.4, find A
A = 49
300
What would you find first in this problem, and what law would you use to find it? Solve triangle ABC given that a = 8, c = 5, and B = 40
b, using law of cosines
300
sin pi
0
300
e^x + 5 = 66
x = 4.111
300
State the horizontal asymptote of this function: (3x^2)/(x^3 - 4x +3)
y=0
300
One period of f(x)=cos x runs from ____ to ____
max to max
400

Determine the period of the following trigonometric function.

y=3cos(6x/5+1/2)+0.5

Period= 5pi/3

400
arcsin (-1/2)
-pi/6
400

Solve: log base2 of (x+3) = 5

x=29

400

Find the domain of f(x). 

f(x)= 2x-8/x^2-7x+6

Domain: {x∣x∈R,x=1,x=6}

All real numbers, except 1,6

Alternative Notation: x<1 or 1<x<6 or x>6

Alternative Notation: x<1 or 1<x<6 or x>6

All real numbers, except 1,6

Alternative Notation: (−∞,1)∪(1,6)∪(6,∞)Alternative Notation: (−∞,1)∪(1,6)∪(6,∞)

400
Verify: (sec^2 x - 1) / (sec^2 x) = sin^2 x
Answers may vary
500

In ΔIJK, i = 2.2 inches, j = 3.6 inches and k=5.1 inches. Find the measure of ∠K to the nearest degree.

K=121 degrees

500

The function f(x)=2x^4+9x^3+6x^2−11x−6  has at least one rational root. Use the rational root theorem to find that root, then proceed to find all complex roots.



Four complex roots: 1,−2,−3,−1/2


500
Solve on [0, 2pi): 2sin^2 x - 3sin x +1 =0
x = pi/6, 5pi/6, pi/2
500

Determine each feature of the graph of the given function.

f(x)= 3x+14/2x+3

HA: y=3/2

VA: x=-3/2

x intercept: -14/3

y intercept 14/3

500
State the period and amplitude of y=2tan(pi)(x)
Amplitude = 2, Period = 1
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