trigonometry

is a theorem about right triangles. Where the square of the hypotenuse of a ringt triangle is equal to the sum of the squares on its two legs. A and B are the — wwhile c is the —

pythagorean theorem

a² + b²2 = c²

legs, hypotenuse

is the angle between the horizontal line of sight of the observer and the sight above it where the object being observed is located. it is like looking up toa flagpole

angle of elevation

is the angle between the horizontal line of sight of the observer and the sight below it where the object being observed is located. It is like looking down from a building

angle of depression

• — iis the angle between the horizontal line and a point above the horizontal line.

• — iis the angle between the horizontal line and a point below the horizontal line.

angle of elevation

angle of depression

the — and the — are mostly used in solving or finding the measures of the sides and angles of oblique triangles, triangles that does not contain a right angle

law of sines and law of cosines

if A, B, and Y are the angles of any triangle, and a, b, and c, are, respectively, the measures of the sides opposite these angles then:

a/sinA - b/sinB = c/sinY

(law of sines)

if A, B, and Y are the angles of any triangle, and a, b, and c are, respectively, the measures of the sides opposite these angles then:

c²2 = a²2 = b²2 - 2ab cos y

b²2 = a²2 = c²2 - 2ac cos B

a²2 = b² + c²2 - 2bc cos a