Trig IDs and Expressions
Vectors
Solving Triangles
Polar Coordinates
Mixed Bag (Extra!)
100

The exact value of cos(/12).

What is (√2-√6)/4?

100

The following vector expressed in terms of unit vectors i and j: https://www.desmos.com/calculator/2idsv341nc

What is 2i+5j?

100

The area of a triangle with side lengths of 5, 7, and 8.

What is 10√3?

100

The graphed point of the following polar coordinates: (6, π/6)

100

The component form of the following vector: https://www.desmos.com/calculator/2idsv341nc

What is <2, 5>?

200

The exact value of 4sin(π/8)cos(π/8).

What is √2?

200

The result of the following vector equation: 2<2, 5> + <-1, 2>.

What is <3, 8>?

200

The area of a triangle rounded to two decimals found using the following data: SAS triangle; 4cm, 50°, 7cm.

What is 10.72cm?

200

The filtered list of polar coordinates below that reference the same point (6, π/6):

A. (-6, -π/6)    B. (-6, -/6)

C. (6, -11π/6)    D. (-6, 11π/6)

200

The simplified form of 2(1-sin2(x))-1.

What is cos(2x)?

300

All of the solutions in the interval [0, 2π) for 2cos(θ)=1.

What is (θ=π/3, 5π/3)?

300

The magnitude and direction of the following vector:

https://www.desmos.com/calculator/2idsv341nc

What is (√29, 68.2°)?

300

The angles and sides for a triangle where angle [uppercase id] is opposite of side [lowercase id]. a=4, B=50°, c=7. A&b&C=?

What is A=34.68°, b=5.39, C=95.32°?

300

The following polar coordinates converted to cartesian coordinates rounded to two decimals: (6, π/6)

What is (5.20, 3)?

300

A sketch of the following vector:

<1, 5> - <-2, -4>

400

All of the solutions in the interval [0, 2π) for cos(2θ)=1/2.

What is (θ=π/6, /6, /6, 10π/6)?

400

The equation that satisfies the following periodic data: https://www.desmos.com/calculator/lih8u4jtj6

What is 5sin(/12x)+3?

400

The distance between an observer and a flag rounded to two decimals if the observer is 30 feet from the base of the pole, the pole is 20 feet high, and the pole leans away from the observer by 4° to the vertical.

What is 37.20ft?

400

A sketched graph of the following equation: r=4+2cos(θ)

400

The following cartesian coordinates converted to polar coordinates rounded to one decimal: (7, 60°)

What is (3.5, 6.1)?

500

The values of θ in the interval [0, 2π) that satisfy the following equation: sinθcosθ=cotθ.

What is π/2, /2?

500

The magnitude rounded to two decimals of the normal (perpendicular) force of a branch with a weight of 2 pounds on a roof with an incline of 45 degrees above the horizontal.

What is 1.41 lbs?

500

The number of different possible triangles that can be created using the following data: SSA triangle; 4cm, 7cm, 50°.

What is zero?

500

The polar equation of the given graph: https://www.desmos.com/calculator/qvpitpwfyf

What is r=2sin(7θ)?

500

The length of a rounded to two decimals when A (an angle opposite side a) is 40°, B (an angle opposite side b) is 30°, and b is 20cm.

What is 25.71cm?