A Level Maths Trig

You know know exact values for sin(pi/6) and sin(pi/4)?

Sorry, I still don't quite understand.

Just have a bit of a think, but there are two values for tan/cot in the question pi/12 and pi/8. Have a think how they can be used in the first part and think about which angles you know trig values for.

Oh, I'm being an idiot, can you rearrange the first part so that you get tan theta + cot theta = 2/ (sin2theta), group together (tan pi/12 + cot pi/12) + (tan pi/8 + cot pi/8), hence theta is pi/12 and pi/8, and then sub that back in so that the answer is 2/(sin 2 x pi/2) + 2/(sin 2 x pi/8)?