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f(x) = (sin x - cos x)/sin 2x
f(x) = (sin x - cos x)/2 sin x cos x
f(x) = 1/2 sec x - 1/2 csc x
f ' (x) = 1/2 sec x tan x + 1/2 csc x cot x
f ' (π/3 = 60°) = 1/2 (sec 60° tan 60° + csc 60° cot 60°)
f ' (60°) = 1/2 (2 . √3 + 2/√3 . 1/√3)
f ' (60°) = 1/2 (2√3 + 2/3) = √3 + 1/3
f ' (60°) = (3√3 + 1)/3
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f(x) = (sin x - cos x)/sin 2x
f(x) = (sin x - cos x)/2 sin x cos x
f(x) = 1/2 sec x - 1/2 csc x
f ' (x) = 1/2 sec x tan x + 1/2 csc x cot x
f ' (x) = 1/2 sec x tan x + 1/2 csc x cot x
f ' (π/3 = 60°) = 1/2 (sec 60° tan 60° + csc 60° cot 60°)
f ' (60°) = 1/2 (2 . √3 + 2/√3 . 1/√3)
f ' (60°) = 1/2 (2√3 + 2/3) = √3 + 1/3
f ' (60°) = (3√3 + 1)/3