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Inverse Properties
Inverse Trigonometry
Inverse Trigonometry 2
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Triangles and a Word Problem
100

What is the range bounds for the Inverse of Cosine

0 to pi

100

What is the arcsin(rt(3)/2)?

pi/3

100

arccos(cos(pi/2))

pi/2

100

arcsin(-0.48) in degrees

-28.68

100

Opposite side = 20

Hypotenuse = 48

Find the measurement of theta.

24.62 degrees

200

What is the domain bounds for the inverse of cosine

-1 to 1

200

What is the arccos(-1/2)

-2p/3

200

sin(arcsin(5))

DNE

200
arccos(55) in radians

DNE

200

adjacent side = 15

opposite side = 5

Find theta: 

18.43

300

What is the range bounds for the Inverse of Sine

-pi/2 to pi/2

300

What is the arctan(-rt(3)/3)

-pi/6

300
tan(arctan(-19))

-19

300

arctan(-.03) in degrees

-1.71

300
Adjacent = 16

Hypotenuse = 22

Find theta:

43.34

400

 What is the domain bounds for the Inverse of Sine

-1 to 1

400

What is the arcsin(sin(5pi/2))?

pi/2

400

cos(arcsin(12/13)).

5/13

400

Arcsin(.667) in radians

0.73

400

A Ferris wheel has a radius of 40 meters and a center of 45 meters above the ground.  It rotates once ever 46 seconds in a counterclockwise direction.  A platform allows a passenger to get on the ferris wheel 2 meters above the ground when t = 0.  Find a cosine function that represents the function above.

f(x) = 40cos(2pi/46(x))+45

500

What is the range bounds for the Inverse of Tangent

-pi/2 to pi/2

500

What is the arcsin(sin(3pi/2))?

-pi/2

500

tan(arcsin(24/25))

tanx = 24/7

500

arctan(1) in radians

0.785

500

A Ferris wheel has a radius of 40 meters and a center of 45 meters above the ground.  It rotates once ever 46 seconds in a counterclockwise direction.  A platform allows a passenger to get on the ferris wheel 2 meters above the ground when t = 0.  How high above the ground would a passenger be 23 seconds after the Ferris wheel starts moving?

5 meters