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Special right triangles and their trigonometric functions (1) 45-45-90 triangle: two equal sides x with equal angles and hypotenuse x times square root of 2: (2) 30-60-90 triangle: shorter side x, longer side x times square root of 3, and hypotenuse 2x: Table of trigonometric functions for these angles: sine 30 degrees 1/2 45 degrees (sqrt 2)/2 cosine (sqrt 3)/2 (sqrt 2)/2 tangent (sqrt 3)/3 1 60 degrees (sqrt 3)/2 1/2 sqrt 3