SOH CAH TOA and Special Right Triangles

Sin ∠A = 0.26. What does cosine for ∠B =

0..26

Sin ∠A = 30°. What does Cosine ∠B =

60

Cosine of ∠B

65/97

Sine of ∠B

72/97

Cosine

Adjacent over hypotenuse

Sine ∠A =

Cosine ∠B

To find the measure of the legs in 45-45-90

Divide the hypotenuse by (√2)

To find the measure of the Long Leg in 30-60-90

If the Hypotenuse is given divide the Hypotenuse by 2, and then multiply the short leg by (√3). If the short leg is given multiply the short leg by (√3).

To find the measure of the Short Leg in 30-60-90

If the Hypotenuse is given divide the Hypotenuse by 2, if the long leg is given divide long leg by (√3)

To find the measure of the hypotenuse in 45-45-90

Multiply the leg by (√2)

Tangent

Opposite over adjacent

Sine

Opposite over hypotenuse

Tan ∠A =

Reciprocal of Tan∠B

Trig function

Sine, cosine, tangent, are the 3 functions we are using in Geometry

Adjacent Side

The leg connected to the angle

Opposite SIde

The leg not connected to the angle

Opposite Side

The leg of a triangle across from the reference angle (not part of the reference angle.)

Adjacent Side

The leg of a triangle attached to the reference angle. (not the right angle)

Right angle triangle

triangle with a 90 degree angle

45°-45°-90° Hypotenuse Leg Relationship

The measure of the hypotenuse is (√2) times the measure of a leg

Hypotenuse

The side of a right triangle opposite the right angle. Note: The hypotenuse is the longest side of a right triangle.