• Similar Right Triangles are triangles whose angles are all the same, one of which is a right angle.

• A Similar Right Triangles are uniquely characterized by one of its angles, typically denoted by θ. The other angle φ is not independent since θ + φ = 90⁰.

• The Ratios of similar sides of Similar Right Triangles are all Equal, no matter what the orientation or size of the triangles.

Some Examples:

The Ratio of the Sides and Trigonometric Functions:

The Angle and Inverse Trigonometric Functions:

Note there is more than one angle that will give the same value of the trigonometric function or its inverse.