Yes! (at least for 30°)
]]>sin θ / (1 + cos θ) = tan ( θ / 2 )
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25 added to the double of a number is 95. What is the number?
Solution:-
Let x be the number.
Therefore, 25 + 2x = 95
2x = 95 - 25 = 70
x = 70/2 = 35
My favourite is the one with the square made up of a slightly smaller square and 4 right-angled triangles.
And thats the only one I remember!
]]>BTW, I recently saw a page with 50+ ways of proving Pythagoras, so isn't maths grand?
]]>Solve a triangle that goes straight to the centre of the circle. It is a right-angled triangle, with two sides of 1m and 0.333m. That angle would be tan-1(0.333/1), then double that angle for the result (by symmetry).
I figure it is 36.8°
(Gustav - are you drawing those yourself, or just adding "I want his angle so bad"? If you are, then Good Drafting!)
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