Bulgarian




Trigonometry in geometry

If the angle A is the right angle of the triangle ABC. The length of |AB|, |BC| and |CA| are usualy denoted by c, a and b. Take point B as center of a trigonometric circle (circle with radius = 1).

trigonometric circle

Now sin(B),cos(B) and 1 are propertional with b, c and a.

sin(B)
b
=
cos(B)
c
=
1
c

=> sin(B) = b/a cos(B) = c/a tan(B) = b/c
and because B + C = 90° =>
cos(C) = b/a sin(C) = c/a tan(C) = c/b

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