Все публикации

0:23:22

1 is NOT a congruent number: two of the hardest problems in mathematics!

0:12:14

Three Proofs of Pythagoras’ Theorem

0:14:33

The RIGHT way to think about matrices, eigenvalues and eigenvectors

0:13:47

The Sine Rule and Cosine Rule are EQUIVALENT!

0:14:58

How To ACTUALLY Solve a Cubic Equation using Trigonometry

0:07:11

Trigonometry Problem 23: optimisation without derivatives!

0:06:01

Trigonometry Problem 22: can you calculate the sum of a and b?

0:02:31

Trigonometry Problem 21: Viviani’s Theorem

0:10:31

Trigonometry Problem 20: can you prove this product of sines identity?

0:10:42

How to completely mess up proving a trig identity

0:08:39

Trigonometry Problem 18: can you calculate the value of sin(x+y)?

0:06:39

Trigonometry Problem 17: can you calculate the exact value of x?

0:02:40

Trigonometry Problem 16: prove that alpha + beta = 45

0:07:38

Trigonometry Problem 15: can you calculate the area of the shaded region?

0:06:55

Trigonometry Problem 14: can you calculate the area of the shaded square?

0:03:35

Trigonometry Problem 13: can you calculate the area of the shaded triangle?

0:03:35

Trigonometry Problem 12: can you calculate the perimeter of this triangle?

0:03:56

Trigonometry Problem 11: can you calculate the area of this region?

0:07:49

Trigonometry Problem 10: arithmetic, geometric, and harmonic means yield the golden ratio!

0:03:52

Trigonometry Problem 9: right angled triangles with sides in geometric progression

0:03:25

Trigonometry Problem 8: right angled triangles with sides in arithmetic progression

0:04:20

Trigonometry Problem 7: the ambiguous case of the sine rule

0:12:03

A nice example of Pell’s equation in trigonometry

0:07:50

Trigonometry Problem 6: Can you calculate the area of the shaded region?