By referring to an equilateral triangle, show that cos 1/3 = 1/23 and tan 1/6 = 1/3

By referring to an equilateral triangle, show that cos 1/3π = 1/2√3 and tan 1/6π = 1/3 √3, and find values for sin 1/3π, tan 1/3π, cos1/6π and sin 1/6π. Hence using the double-angle formulae, find sin 1/12π, cos 1/12π and tan 1/12π. Using appropriate properties, calculate

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(a) sin (d) sin (b) tan (e) cos 7 7 (c) cos (f) tan