Trigonometry/Circle

Last updated 10 months ago

16 questions

(1) Right Triangle Trigonometry

(2) Special Right Triangle

(3) Radians/Degrees Coterminal and Reference Angles (Day 2)

Arc Length/Area of a Sector (Day 2)

Trigonometry/Circle

Last updated 10 months ago

16 questions

(1) Right Triangle Trigonometry

(Level 1) Given the diagram, write the six trig ratios



\sin(\alpha)=_______ 
\cos(\alpha)=_______ 
\tan(\alpha)=_______ 
\csc(\alpha)=_______ 
\sec(\alpha)=_______ 
\cot(\alpha)=_______ 

(Level 2) Solve for the value of x for each diagram

x=_______ 

x=_______

(Level 3) A student lets out 250 feet of string on a kite from a hand height of 4 feet. The angle between horizontal hand height and the kite is 40º. Find the height of the kite above the ground, to the nearest foot.

(Level 4) You stand in front of the flagpole at Alisal HS. Your best friend stands 10 ft. behind you and looks up at the top of the same flagpole with an angle of elevation of 54⁰. The distance from your best friend’s eyes to the top of the flagpole is 29.4 feet. How far away are you standing from the base of the flagpole? Round your answer to the nearest tenth.

(2) Special Right Triangle

(Level 1) Solve for a,b,c and d. You must leave your answer in radical form to receive credit
a=_______ 
b=_______ 
c=_______ 
d=_______ 

(Level 2) Solve for a,b,c and d. You must leave your answer in radical form to receive credit
a=_______ 
b=_______ 
c=_______ 
d=_______ 

(Level 3) Solve for a,b,c and d. You must leave your answer in radical form to receive credit
a=_______ 
b=_______ 
c=_______ 
d=_______ 

(Level 4) Find all of the missing sides and angles of the complex triangle.
KN= _______ 
LN= _______
NM= _______
LM= _______
∢K= _______
∢NLM=_______
∢LNM= _______

(3) Radians/Degrees Coterminal and Reference Angles (Day 2)

(Level 1) Convert the following into degrees

\frac{\pi}{6}=_______ 
\frac{7\pi}{4}=_______ 

Convert the following into radians
60\degree=_______ 
155\degree=_______ 

(level 2) Solve for two conterminal angles for \frac{2\pi}{3} , one positive and one negative. CHANGE YOUR ANSWER TO DEGREES

Positive angle =_______ 
Negative angle= _______ 

Solve for the reference angle of \frac{7\pi}{3} , your answer must be in degrees.

(Level 4) A Ferris wheel has a diameter of 50 ft. You start at the bottom and travel 80 degrees before it stops. How much of the Ferris wheel did you travel before you stopped. Round to the nearest foot

Arc Length/Area of a Sector (Day 2)

Solve for the arc length and area of the sector

Arc Length: _______ 

Area of Sector: _______ 

Solve for the arc length and area of the sector

Arc Length: _______ 

Area of Sector: _______ 

(Level 3) Solve for the area of the shaded region

(Level 4)  A contractor was hired to build a pool and needs to put tile on the outer edge. The shaded region represents the pool. He measures everything in feet. 

How much area does the pool take up?

_______ 

How many feet of tile does he need to complete the perimeter of the pool?
_______ 