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to whoever needs to hear this:
you don't have to memorise exact values for trig functions. you can instead work them out quickly by drawing a right angled triangle, either a 1, √3, 2 one or a 1, 1, √2 one depending on the problem, and looking at the angles (which will be 30° and 60°, or 45°, respectively)
the triangles are equivalent to an equilateral triangle of side 2 cut in half down the middle, and a unit square cut in half diagonally, which helps to remember the lengths and angles
for some reason nobody pointed this out to me until like a month before my gcses and it genuinely saved me so much headache because i suck at rote memorisation
examples attached
you don't have to memorise exact values for trig functions. you can instead work them out quickly by drawing a right angled triangle, either a 1, √3, 2 one or a 1, 1, √2 one depending on the problem, and looking at the angles (which will be 30° and 60°, or 45°, respectively)
the triangles are equivalent to an equilateral triangle of side 2 cut in half down the middle, and a unit square cut in half diagonally, which helps to remember the lengths and angles
for some reason nobody pointed this out to me until like a month before my gcses and it genuinely saved me so much headache because i suck at rote memorisation
examples attached