Jazzy Jeopardy

Trigonometry

100

Find sin⁡30∘

1/2

200

A right triangle has opposite side 8 and hypotenuse 10. Find cos⁡θ.

3/5

300

Solve: 2sin⁡x=12sinx=1 for 0∘≤x≤360∘

30∘, 150∘

Sequences and Series

100

Find the next term: 2, 5, 8, 11, __

14

200

Find the 10th term of the arithmetic sequence: 4, 7, 10, …

31

300

Find the sum of the first 5 terms of: 3, 6, 12, 24, …

93

Polar Coordinates

100

Convert (3,π2) from polar to rectangular form.

(0,3)

200

Convert (0,−4) into polar coordinates.

(4,3n/2)

300

Find the area of a circle given by r=5

25π

Vectors

100

Find the magnitude of ⟨3,4⟩

5

200

Add the vectors: ⟨2,5⟩+⟨−1,3⟩

⟨1,8⟩

300

Find the dot product of ⟨1,2⟩ and ⟨3,4⟩.

11

Limits and Derivatives

100

Evaluate: lim⁡x→2(x+3)

5

200

Find the derivative of f(x)=x2+5x

2x+5

300

Find the slope of the tangent line to f(x)=x3 at x=2

12