Trigonometric Reference Sheet

Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for π–𝘹, π+𝘹, and 2π–𝘹 in terms of their values for 𝘹, where 𝘹 is any real number.

Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.

Prove the Pythagorean identity sin²(θ) + cos²(θ) = 1 and use it to find sin(θ), cos(θ), or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle.