Trigonometry Quiz

1. Sketch a triangle with hypotenuse ! and legs ! units. Find the six trigonometric function values of the smallest angle ! .

2. Find the value of ! using a calculator and round to four decimal places.

3. If ! what is the value of ! if ! represents an acute angle?

193 712 and θ

7 6

sec π

2 3

sin =θ θ θ

4. Find a positive angle and a negative angle coterminal with ! angle.

5. Given that ! and that the terminal side is in quadrant II, find the other five trigonometric function values.

6. The angle of elevation of a kite is ! with 500 feet of string out. Assuming the string is taut, how high is the kite?

7. The rotor blades of a helicopter are 20 ft long and are rotating at 100 rpm. a. Find the angular speed of the rotor. b. Find the linear speed of a point on the tip of a blade.

0176

53 4

cos −=θ

060

8. Evaluate: ! .

Solve ! if possible. Round answers to the nearest tenth.

9. !

10. !

11. A new homeowner has a triangular-shaped backyard. Two of the three sides measure 40 ft and 70 ft an form an included angle of ! . To determine the amount of grass seed that needs to be purchased, the owner has to know the area of the yard. Find the area of the yard to the nearest square foot.

.

! "

# $ %

& − 2 1

sintan 1

,ABCΔ

00 16,100,15 === CBfta

mcmbma 15,13,10 ===

0120