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Simplifying Identities
Trig Function Values
Area of Sector
Arc Length
Applications soh-cah-toa
100

(sec x)(cos x)

What is 1?

100

What is the cosine of 90 degrees

0

100

what is the area of a sector in a circle with radius =12m and central angle = 30 degrees?

37.7 m2

100

what is the arc length of a circle with radius = 46m and a central angle of 35 degrees?

28.1 m

100
The maximum height that a 20 foot ladder can reach safely if we follow the suggestion that the ladder should not make an angle grater that 75 degrees with the ground.
What is 19.32 ft?
200

(tan x)(cos x)

What is Sin X?

200

Find the value csc (3π/2)

-1

200

what is the area of a sector in a circle with radius = 3m and central angle =45 degrees?

3.5 m2

200

what is the arc length of a circle with diameter = 29m and a central angle of 160 degrees?

40.5 m

200
The distance above sea level after a plane ascends from 1 mile at a 3 degree angle for 60 ground miles.
What is 4.1 mi?
300

(sec x) / (tan x)

What is cscX?

300

Find the value cot(π/2)

0

300

what is the area of a sector in a circle with diameter= 11 and central angle = 20 degrees?

5.3 m2

300

what is the arc length of a circle with radius = 43m and a central angle of 14 degrees?

10.5 m

300
The angle of elevation of the sun when a 7.6 meter flagpole casts an 18.2 meter shadow, rounded to the nearest degree.
What is 22.7 m?
400

sin x (csc x - sec x)

What is 1-tanX?

400

Find the value csc(5π/6)

2

400

DAILY DOUBLE!!!!! what is the area of a sector in a circle with diameter = 50m and interior angle = 120 degrees? The sine of 45 degrees.

654.5

400

what is the arc length of a circle with radius = 39m and a central angle of 100 degrees?

68.1

400
The angle of depression of a sledding run 300 yards long with a vertical drop of 27.6 yards.
What is 5.3 degrees?
500

csc x - sin x

What is (cos²x) / (sin x) or (cos x)(cot x) ?

500

Find the value tan(3π/2)

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500

The area of a circle is 55 m2. The area of a sector in the circle is 13.75 m2. What is the measure of the central angle in degrees?

90 degrees

500

If the arc length of a circle = 12m and the circumference of that circle = 72m what is the measure of the central angle in degrees?

60 degrees

500
The length of a ski run with a vertical drop of 1100 feet and angle of elevation of 24.4 degrees.
What is 2663 ft?