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Trigonometry Challenge

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11th Grade

Trigonometry Challenge
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12 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Graph the function y = sin(x) for 0 ≤ x ≤ 2π.

The graph of y = sin(x) for 0 ≤ x ≤ 2π is a wave that starts at (0, 0), reaches its peak at (π/2, 1), goes back to 0 at (π, 0), reaches its minimum at (3π/2, -1), and returns to 0 at (2π, 0).

The graph of y = sin(x) for 0 ≤ x ≤ 2π is a straight line

The graph of y = sin(x) for 0 ≤ x ≤ 2π is a parabola

The graph of y = sin(x) for 0 ≤ x ≤ 2π is a circle

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the coordinates of the point on the unit circle corresponding to an angle of 60 degrees?

(1, 0)

(0, 1)

(√3/2, 0)

(0.5, √3/2)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a right triangle, if the opposite side is 5 and the hypotenuse is 13, what is the sine of the angle opposite the side of length 5?

3/5

7/13

5/12

5/13

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Graph the function y = cos(x) for -π/2 ≤ x ≤ π/2.

The graph of y = cos(x) for -π/2 ≤ x ≤ π/2 is a straight line

The graph of y = cos(x) for -π/2 ≤ x ≤ π/2 is a parabola

The graph of y = cos(x) for -π/2 ≤ x ≤ π/2 is a circle

The graph of y = cos(x) for -π/2 ≤ x ≤ π/2 is a curve that starts at (−π/2, 0), reaches its peak at (0, 1), and ends at (π/2, 0).

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cosine of 0 degrees?

1

0

0.5

-1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the right triangle with an angle of 30 degrees and a hypotenuse of 10 units.

Opposite side (height) = 6 units, Adjacent side (base) = 7.5 units

Opposite side (height) = 4 units, Adjacent side (base) = 8.5 units

Opposite side (height) = 3 units, Adjacent side (base) = 9.5 units

Opposite side (height) = 5 units, Adjacent side (base) = 8.66 units

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Graph the function y = tan(x) for -π/2 ≤ x ≤ π/2.

Graph the function y = sin(x) for -π/2 ≤ x ≤ π/2

Graph the function y = cot(x) for -π/2 ≤ x ≤ π/2

Graph the function y = cos(x) for -π/2 ≤ x ≤ π/2

Graph the function y = tan(x) for -π/2 ≤ x ≤ π/2 to show one period of the tangent function.

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