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Trigonometry · Already know this?

Ten questions, one verdict per topic

Answer all ten without looking anything up. The result tells you, topic by topic, which lessons you may skip and which you should read.

Already know this?

Ten questions. The result tells you which lessons you may skip.

1

A rope pulls a box with a force of \(10\,\text{N}\) at \(60°\) above the floor. What part of the force acts along the floor?

2

In the 3-4-5 triangle, \(\sin 37° \approx 0.6\). What is \(\cos 53°\)?

3

An angle has \(\sin\theta < 0\) and \(\cos\theta > 0\). In which quadrant does it lie?

4

An arc of \(0.5\,\text{m}\) on a circle of radius \(0.25\,\text{m}\) subtends an angle at the centre of

5

A quantity varies as \(y = 3\sin(10\pi t)\), with \(t\) in seconds. Its period is

6

Which of these is the same function as \(A\cos\omega t\)?

7

The value of \(2\sin 15°\cos 15°\) is

8

Tuning forks of \(300\,\text{Hz}\) and \(304\,\text{Hz}\) sound together. How many beats are heard each second?

9

Forces of \(3\,\text{N}\) and \(4\,\text{N}\) act at one point with \(90°\) between them. The size of their resultant is

10

For a swing of \(0.05\) rad, the value of \(\sin\theta\) is closest to