Trigonmetry
Evaluate
Equations
Graphing
Miscellaneous
100

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

cot^2 x

100

sin (pi)

0

100
Solve on [0, 2pi): tanx = -1
x = 3pi/4, 7pi/4
100

What is the amplitude of this function: y=-3sin(2x-7)+2

3

100

True or False: Hyperbolas are a collection of all points that are equidistant from a fixed point (called a foci) and from a line (called the directrix).

False

200
Solve on [0, 2pi): sec x + 2 = 0
2pi/3, 4pi/3
200

arccos (0)

90 degrees

200
Solve: 4^(x+3) = 16^(5x)
x=1/3
200

Cosecant is positive in which two quadrants?

Quadrants 1 and 2

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

arctan (-1)

-pi/4

300

e^x + 5 = 66

x = 4.111

300

True or False: tangent graphs are continuous everywhere

False, domain is all real numbers except odd multiples of pi/2

300

One period of f(x)=cos x runs from ____ to ____

0 to 2pi

400
Evaluate arccos (-2)
not possible
400
arccos (1)
0
400
Solve: log base2 of (x+3) = 5
x=29
400

Describe the period for the following trigonometric function: f(x)=2sin(x+2)-1

2pi

400

Prove the following identity: (sec^2 x - 1) / (sec^2 x) = sin^2 x

From LHS: 1. Use Reciprocal identity 2. Use Pythagorean identity

500
Given that a = 15, b = 25, A = 85, are there one, two, or no triangles possible?
no triangles possible
500
arcsin (-1/2)
-pi/6
500
Solve on [0, 2pi): 2sin^2 x - 3sin x +1 =0
x = pi/6, 5pi/6, pi/2
500
Describe the phase shift of the following trigonometric function: f(x)=4cos(2x-3)-2

3/2 or 1.5

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