# Trigonometry

## Applications of trigonometry geometry

Metric relations in right triangle

In the right triangle ABC with m() = 90° we use known notatios:

AB = c, AC = b, BC = a;

la = bisecting length taken from the top A;

ma = median length from A;

ra = length side duly ex-inscribed circle radius BC;

.

In this triangle, ABC, we have:

1)

2)

3)

4)

5)

6)

7)

8)

9)

10)

11)

12)

13)

14)

15)

16)

17)

18)  S = p(p –a)=(p - b)(p – c)

19)

20)

Relations between angles and sides of a triangle

. We have:

1)

2)

3)

4)

5)

6)

7)

8)

Inequalities checked trigonometric functions of the angles of a triangle

1)

2)

3)

4)

5)

6)

7)

8)

9)

Metric relations in ordinary triangles

1)      Sine Theorem:

2)      Cosine Theorem:

3)      Theorem tangents:

4)      Heron's Formula:

5)      Theorem median:

6)

7)

8)

9)

10)

11)  Theorem projections:

12)

13)  , where

14)

15)

16)

17)  , where

18)

19)

Keywords: trigonometry, geometry, formulas, sine, cosine, sinus, cosinus, tangent, cotangent

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