Trig Evaluation and Trig Equations

Sin, Cos, Tan

100

Evaluate and write in exact radical form: 

cos((3pi)/2)

0

200

Evaluate and write in exact radical form: 

cos(300°)

1/2

300

Evaluate and write in exact radical form:

sin(225°)

-sqrt2/2

400

Evaluate and write in exact radical form: 

tan(-pi/3)

-sqrt3

500

Evaluate and write in exact radical form: 

cos((13pi)/4)

-sqrt2/2

Reciprocals

100

Evaluate and write in exact radical form: 

sec(180°)

-1

200

Evaluate and write in exact radical form: 

sec(2pi)

1

300

Evaluate and write in exact radical form: 

cot(pi/2)

0

400

Evaluate and write in exact radical form: 

csc((7pi)/6)

-2

500

Evaluate and write in exact radical form: 

csc((-5pi)/6)

-2

Basic Equations

100

Solve for all values of x between 0 and 2π (2pi):

sinx=sqrt2/2

45°, 135°

OR

pi/4, (3pi)/4

200

Solve for all values of x between 0 and 2π (2pi):

cosx=-sqrt3/2

150°, 210°

OR

(5pi)/6, (7pi)/6

300

Solve the equation for all values of x between 0 and 2π (2pi): 

tanx=-1

135°, 315°

OR

(3pi)/4, (7pi)/4

400

Solve for all values of x between 0 and 2π (2pi):

cosx+2=5/2

60°, 300°

OR

pi/3, (5pi)/3

500

Solve the following equation for all values of x between 0 and 2π (2pi): 

2sinx-1=0

30°, 150°

OR

pi/6, (5pi)/6

Spicy Equations

100

Solve the equation for all values of x between 0 and 2π (2pi):

sqrt(3)tanx+1=0

150°, 330°

OR

(5pi)/6, (11pi)/6

200

Solve the following equation for all values of x between 0 and 2π (2pi): 

2(cosx+1)=1

120°, 240° 

OR

(2pi)/3,(4pi)/3

300

Solve for all values of x between 0 and 2π (2pi):

2cos^2x=1

45°, 315°

OR

pi/4, (7pi)/4

400

Solve the following equation for all values of x between 0 and 2π (2pi): 

2sin^2x+sinx-1=0

30°, 150°, 270°

OR

pi/6, (5pi)/6, (3pi)/2

500

Solve for all values of x between 0 and 2π (2pi):

3sec^2(x)-4=0

30°, 150°, 210°, 330°

OR

pi/6, (5pi)/6, (7pi)/6, (11pi)/6

Miscellaneous

100

Graph 

(x-4)^2+(y+2)^2=16

Circle with center (4, -2) and radius 4

200

What are Park's core values?

Honesty, kindness, respect, responsibility, academic excellence

300

What is the domain of 

f(x)=(x-6)/(x^2-5x-6)

All real numbers except +6 (hole) or -1 (vertical asymptote)

400

A polynomial touches the x-axis at -3 and goes through the x-axis at +2. It has a y-intercept of -9. Write the equation of the graph.

y=1/2(x-2)(x+3)^2

500

Find x: 

log_6(x+6)-log_6(x)=log_6(2)

6