Trigonometry Review

Degrees and Radians

100

210⁰ to radians

What is 7π/6 ?

200

5π/3 radians to degrees

What is 300⁰   ?

300

50^o to radians  (make sure to simplify your answer)

What is 5π/18 ?

400

3π/5 radians to degrees

What is 108^o ?

500

-100^o to radians

What is  - 5π/9 radians or 13π/9

Unit Circle

100

sin 120^o =

What is  √3/2  ?

200

cos π/2 =

What is  0  ?

300

cos 5π/6 =

What is -√3/2 ?

400

tan 270^o =

What is undefined?

500

tan 11π/6 =

What is -√3/3 ?

6 Trig Functions

100

If the opposite side is 12 units and the adjacent side is 5 units, sin θ = ?

(draw the triangle to help)

 What is sin θ = 12/13  ?

200

If the hypotenuse is 4 units and the adjacent side is 2 units, what is tan θ = ?

(draw the triangle)

What is tan θ = √3 ?

300

If the hypotenuse is 10 units and the opposite side is 6 units, sec θ = ?

(draw the triangle)

What is sec θ = 10/8 or 5/4 ?

400

If the opposite side is 5 units and the adjacent side is 2 units, what is csc θ = ?

(draw the triangle)

What is csc θ = √29/5 ?

500

If the opposite side is 4 units and the hypotenuse is 6 units, cot θ = ?

(draw the triangle)

What is cot θ = 2√5 /4  or √5/2 ?

Solving Right Triangles

100

Draw a right triangle with an angle of 30^o and the hypotenuse with a length of 4 units. What is the length of the side opposite the 30^o angle ?

What is 2 units ?

200

Draw a right triangle with a 50^o angle and 6 units on the adjacent side. What is the length of the hypotenuse? (round to nearest hundredth)

What is 9.33 units?

300

Draw a right triangle with an angle of 20^o and a hypotenuse of 10 units. What is the length of the side opposite the 20^o angle?

What is 3.42 units?

400

A tower casts a shadow that is 60 feet long when the angle of elevation of the sun is 65˚. How tall is the tower? (round to nearest hundredth)

What is 128.67 ft ?

500

A 20 foot ladder leans against a building so that the angle between the ground and the ladder is 72^o.  How high does the ladder reach on the building?

What is 19.02 ft ?

Arc and Sector Area

100

If there's a central angle of 45^o within a circle of radius 5 units, what is the length of the arc intercepted by the central angle? (round to the nearest hundredth)

What is 3.93 units?

200

If there's a central angle of 120^o within a circle of radius 8 units, what is the length of the arc intercepted by the central angle? (round to the nearest hundredth)

What is 16.76 units?

300

If there's a central angle of 210^o within a circle of radius 12 units, what is the length of the arc intercepted by the central angle? (round to the nearest hundredth)

What is 43.98 units?

400

What is the area of a sector with a central angle of 30^o in a circle with a radius of 6 units?

What is 9.42 units²  ?

500

What is the area of a sector with a central angle of 135^o in a circle with a radius of 9 units?

What is 95.43 units²  ?