Pre-Calc
7.1 to 7.3, 9.1 In-class Review
Name:_________________________________
Solve each problem. The answer from one problem will tell you which to solve next. Record the path you
took through all ten problems on the back.
Covert 135° to Radians
Convert
4𝜋
5
If a sector has a radius of 3 in and a central
𝜋
angle of 3 , determine the arc
to Degrees
length and the area.
3π/4 &
36°
Arc 2.86 in & Area = 9.42 in2
3π/8 &
36°
Arc 3.14 in & Area = 9.42 in2
3π/4 & 144°
3π/8 &
Arc 2.86 in & Area = 4.71 in2
144°
Arc 3.14 in & Area = 4.71 in2
Determine if cos 495° and sin -170°
are pos, neg, zero or undefined.
Then give one pos and one
neg coterminal angle for :
Find the exact value of
𝝅
tan 𝟑 and cos 240°.
5𝜋
6
pos, neg & 17π/6 & -7π/6
√3/2
& ½
√3/2
& –½
neg, pos & 3π/6 & -π/6
both neg & 17π/6 & -7π/6
both neg & 3π/6 & -π/6
√3
& ½
√3
& –½
If the terminal side of an angle contains (-2,5), find sinθ, cosθ, and tanθ.
sinθ = 5√21/21; cosθ = -2√21/21; tanθ = -5/2
sinθ = √29/5; cosθ = -√29/2; tanθ = -2/5
sinθ = 5√29/29; cosθ = -2√29/29; tanθ = -5/2
sinθ = √21/5; cosθ = -√29/2; tanθ = -2/5
YOUR PATH: ________- ________ - ________ - ________ - ________ - ________ - ________ ________ - ________ - ________
Name the reference angle for:
2𝜋
and -440°
3
π/3
&
80°
π/6
&
80°
π/3
& 10°
If ∠C = 90° and a = 25 and c = 30, Solve the
triangle.
∠ A = 60°, <B = 40° and b = 16.58
∠ A = 56°, <B = 34° and b = 16.58
∠ A = 60°, <B = 40° and b = 39.05
π/6 & 10°
∠ A = 56°, <B = 34° and b = 39.05
Given cosθ = 12/13, find tan θ given
3𝜋
2
< θ < 2𝜋.
−5
A plane is flying at an altitude of 35,000 ft. If the
plane starts its initial decent at an angle of depression
of 6, find the distance the plane will travel through
the air to reach the airport.
12
5
35193 feet
12
333003 feet
12
5
334837 feet
−12
5
367864 feet
A sector of a circle has an arc length of 3.5 yards
And a central angle of 30°. Find its area.
Area = 11.7 yd2
Area = 6.7 yd2
Area = 3.3 yd2
Area = 2.6 yd2