Mr. B
Trigonometry
Random Trivia
Transformations
Periodic Functions
100

Where is Mr. B headed for his honeymoon?

Japan

100

This trigonometric ratio is defined as “opposite over hypotenuse” in a right triangle.

Sine.

100

This famous physicist developed the theory of general relativity.

Albert Einstein

100

The graph of y=sin⁡(x)+4 is y=sin(x) shifted this amount in this direction.

Shifted up 4

100

What is a periodic Function?

A function that repeats its values at regular intervals.

200

What is Mr Bs wifes name?

Emma

200

What is the general equation for Sine Law?

a/SinA = b/SinB = c/SinC

200

This animal is the largest mammal on Earth.

Blue Whale

200

In the function y=3sin⁡(x), this number determines how tall or short the graph is.

Amplitude = 3.

200

This term describes the vertical distance from the midline of a periodic function to its maximum value.

Amplitude

300

What did Mr. B go as for Halloween?

Brock from Pokemon

300

This trigonometric law is used to find an unknown side in any triangle when you know two sides and the contained angle.

Cosine Law

300

This ancient city was buried under volcanic ash after the eruption of Mount Vesuvius in 79 A.D.

Pompeii

300

Changing this parameter in the function y=asin⁡(bx+c)+d affects the horizontal shift of a graph.

c

300

Give three examples of periodic functions.

rising and falling of tides, a clock's hands moving, circular motion of cylinders in an engine

400

This was Mr Bs favourite thing to do growing up.

Skateboarding

400

What are the three types of triangles?

Scalene, Equilateral, Isoscelese

400

Name all planets in our solar system in order.

Mercury, Venus, Earth, Mars, Saturn, Jupiter, Neptune, Uranus

400

This parameter (variable) determines how many cycles fit into an interval.

b

400

What are the transformations applied to y=x2 to get to y=2(x-2)2+1

vertical stretch of 2, translation one unit up and t units to the right.

500

What is the name of Mr. B's Bengal?

Benjie.

500

A regular Octagon is inscribed in a circle of radius 15.8 cm. What is the perimeter, to the nearest tenth of a centimetre, of the octagon?

96.7 cm

500

This famous treaty ended World War I.

Treaty of Versailles

500

The function y=sin⁡(2(x−(1/6))) undergoes two transformations. Name both.

a horizontal compression by a factor of 1/2 and a phase shift of 1/6 to the right.

500

This is the name for a function that repeats its values at regular intervals but cannot be written as a sum of a finite number of sine and cosine terms.

Non-sinusoidal function.