#1 Points possible: 3. Total attempts: 3
Evaluate the following expressions. Your answer must be an angle in radians and in the interval [-π2,π2].

(a) sin-1(-22)=

(b) sin-1(12)=

(c) sin-1(32)=

#2 Points possible: 3. Total attempts: 3
Evaluate the following expressions. Your answer must be an exact angle in radians and in the interval [0,π]. Example: Enter pi/6 for π6.

(a) cos-1(0)=

(b) cos-1(22)=

(c) cos-1(12)=

#3 Points possible: 3. Total attempts: 3
Evaluate the following expressions. Your answer must be an exact angle in radians and in the interval [-π2,π2]. Example: Enter pi/6 for π6.

(a) tan-1(-3)=

(b) tan-1(-1)=

(c) tan-1(-33)=

#4 Points possible: 1. Total attempts: 3
For the right triangle below, find the measure of the angle.
Figure is not to scale.

14<– ?11

degrees

#5 Points possible: 1. Total attempts: 3
Evaluate the expression sin-1(cos(π4)).

#6 Points possible: 1. Total attempts: 3
Evaluate the expression cos-1(sin(11π6)).

#7 Points possible: 1. Total attempts: 3

#8 Points possible: 1. Total attempts: 3
Find a simplified expression for tan(cos-1(b8))

#9 Points possible: 1. Total attempts: 3
Find a simplified expression for sin(tan-1(a8))

#10 Points possible: 1. Total attempts: 3
Evaluate: cot-1(-33)

#11 Points possible: 1. Total attempts: 3
Evaluate: csc-1(-2)

#12 Points possible: 1. Total attempts: 3
Evaluate: sin(arcsin(7))

#13 Points possible: 1. Total attempts: 3
Evaluate: arcsec(sec(-2π))

#14 Points possible: 1. Total attempts: 3
Evaluate: cot(arccos(314))

#15 Points possible: 1. Total attempts: 3
Simplify the given expression.

cos(sin-1(y))=

#16 Points possible: 1. Total attempts: 3
Simplify the given expression.

sec(tan-1(t))=

#17 Points possible: 1. Total attempts: 3

For the right triangle below, find the measure of the angle in degrees. Round your answer to 2 decimal places.
Figure is not to scale.

10<– ?12

degrees

#18 Points possible: 1. Total attempts: 3
Evaluate tan(sin-1(-710)), giving an exact answer.

#19 Points possible: 1. Total attempts: 3
A guy wire 1792 feet long is attached to the top of a tower. When pulled taut, it touches level ground 786 feet from the base of the tower. What angle does the wire make with the ground? Express your answer using degree measure rounded to one decimal place.

degrees

#20 Points possible: 2. Total attempts: 3
Suppose sinθ=79, and θ is an angle in standard position.

Then the terminal side of θ could be in (check all that apply):

arcsin(79) is an angle whose terminal side is in (check all that apply):

#21 Points possible: 2. Total attempts: 3
Suppose cosθ=-58, and θ is an angle in standard position.

Then the terminal side of θ could be in (check all that apply):

arccos(-58) is an angle whose terminal side is in (check all that apply):

#22 Points possible: 2. Total attempts: 3
Suppose tanθ=-29, and θ is an angle in standard position.

Then the terminal side of θ could be in (check all that apply):

arctan(-29) is an angle whose terminal side is in (check all that apply):

#23 Points possible: 1. Total attempts: 3
Find arctan(tan220o).

arctan(tan220o)= degrees.

#24 Points possible: 1. Total attempts: 3

Find the exact value or state that it is undefined.  In the latter case, enter “DNE”.

cos-1(cos(-3π4))

#25 Points possible: 1. Total attempts: 3

Find the exact value or state that it is undefined.  In the latter case, enter “DNE”.

arcsec(sec(5π6))

#26 Points possible: 1. Total attempts: 3

Find the exact value or state that it is undefined.  In the latter case, enter “DNE”.

cot(arccos(-22))

#27 Points possible: 1. Total attempts: 3

Find the exact value or state that it is undefined.  In the latter case, enter “DNE”.

cot(arccos(1213))

#28 Points possible: 1. Total attempts: 3

Find the exact value or state that it is undefined.  In the latter case, enter “DNE”.

cot(arccsc(54))

#29 Points possible: 1. Total attempts: 3

A canyon is 7403 feet deep. From that point, a fire is seen at a location known to be 8 miles away from the base of the canyon wall. What is the angle of depression from the canyon edge to the fire? Round your answer to the nearest hundredths of a degree.

#30 Points possible: 1. Total attempts: 3

A para-sailor is being pulled by a boat on a lake. The cable is 194 feet long and the para-sailor is 190 feet above the surface of the water. what is the angle of elevation from the boat to the para-sailor? Round your answer to the nearest hundredths of a degree.