Sin, Cos, Tan
What is sin(30°)?
0.5
What transformation does y = sin(x) + 3 represent?
Vertical translation up 3 units
Solve sin(x) = 0 for 0° ≤ x ≤ 360°.
x = 0°, 180°, 360°
x = 60°, 300°
1
Which three countries are co-hosting the 2026 FIFA World Cup?
USA, Mexico, and Canada
Which desert is the largest in Australia?
The Great Victoria Desert
What is cos(60°)?
0.5
What transformation does y = cos(x − 45°) represent?
Horizontal translation right 45°
Solve cos(x) = 1 for 0° ≤ x ≤ 360°.
x = 0°, 360°
What is the coordinate of the point at 0° on the unit circle?
(1,0)
How many teams are competing in the 2026 World Cup, up from 32 in 2022?
48 teams
Who was Australia's first Prime Minister?
Edmund Barton
What is tan(45°)?
1
In y = a·sin(x), what does 'a' control?
The amplitude (vertical dilation)
Solve tan(x) = 1 for 0° ≤ x ≤ 360°.
x = 45°, 225°
What is the coordinate of the point at 90° on the unit circle?
(0,1)
In which city was the opening match of the 2026 World Cup played (Mexico vs South Africa)?
Mexico City (Estadio Azteca / Mexico City Stadium)
Which Australian city was the country's capital before Canberra was built?
Melbourne
If sin(θ) = 0.5 for 0° ≤ θ ≤ 90°, find θ
30°
Describe the transformation from y = cos(x) to y = cos(2x).
Horizontal dilation by factor 1/2 — the period is halved (360° → 180°) - Graph is compressed
Solve sin(x) = 0.5 for 0° ≤ x ≤ 360° (give both solutions).
x = 30°, 150°
On the unit circle, what does the y-coordinate of a point represent?
The sine value of the angle
Which group was Australia placed in at the 2026 World Cup, alongside the USA?
Group D (with USA, Paraguay, and Türkiye)
What is the highest mountain on the Australian mainland?
Mount Kosciuszko
Find the exact value of tan(60°).
√3 (approx 1.73)
Write the equation for a sine graph reflected in the x-axis with amplitude 4.
−4 sin(x)
Solve 2cos(x) − 1 = 0 for 0° ≤ x ≤ 360°.
x = 60°, 300°
What is the coordinate of the point at 180° on the unit circle?
(−1, 0)
In which stadium and city is the 2026 World Cup Final being played on July 19?
MetLife Stadium, East Rutherford, New Jersey (New York New Jersey Stadium)
Which Australian Prime Minister mysteriously disappeared while swimming in 1967?
Harold Holt