Inverse Trig Solving

Arcsin

100

Name the quadrants on the unit circle where sin(x) has an inverse function

What is 1 & 4

200

Evaluate:

arcsin(-sqrt3/2)

What is 

(-pi)/3

300

Evaluate

sin^-1(1)

What is

 pi/2

400

Name the domain and range of 

y = sin^-1(x) 

What is

[-1 , 1]

[-pi/2 , pi/2]

500

Evaluate

arcsin(sin(pi/3))

What is

 pi/3

Arccos

100

Evaluate:

arccos(-sqrt3/2)

What is 

(5pi)/6

200

Name the quadrants on the unit circle where cos(x) has an inverse

What is 1 & 2

300

Name the domain and range of 

y = cos^-1(x)

What is

[-1 , 1]

[0 , pi]

400

Evaluate:

cos^-1(sqrt2/2)

What is

pi/4

500

Evaluate:

arccos(1)

What is

0

Arctan

100

Evaluate:

arctan(-sqrt3/3)

-pi/6

200

Name the domain and range of 

y = tan^-1(x)

What is 

all real numbers

(-pi/2 , pi/2)

300

Name the quadrants on the unit circle where tan(x) has an inverse function

What is 1 & 4

400

Evaluate

tan(tan^-1(5))

What is

5

500

Evaluate

tan^-1(-sqrt3)

What is

-pi/3

Solving

100

Solve for x. Find Exact Value(s).

2cos(x)+1=0

What is

-pi/3

200

Solve for x. Find Exact Value(s).

cos(x)+1=0

What is

pi

300

Solve for x. Find Exact Value(s).

sqrt2 sin(x)+1=0

What is

-pi/4

400

Solve for x. Find Exact Value(s).

tan(2x)= -sqrt3/3

What is

-15 degrees

500

Solve for x. Find Exact Value(s).

2cos^2(x)+cos(x)-1=0

What is

pi/3 , pi

Mystery

100

The reason 6 is afraid of 7

What is

Because, 7, 8, 9

200

Solve for x. Find Exact Value(s).

2sin^2(3x)=1

What is 

15 degrees and -15 degrees

300

Solve for x. Find Exact Values(s). 

sqrt3cot(x)+1=0

What is

(2pi)/3

400

Name a butterfly's favorite subject in school

What is

Mothematics!

500

Name the favorite season for all teachers

What is

SUMmer!