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Sin & cos
Sin²(x) + cos²(x) = 1
Tan + sec
Tan²(x) + 1 = sec²(x)
Cot and csc
1 + cot²(x) = csc²(x)
Cos²(x)
½ * (1 +cos(2x)
Sin²(x)
½ * (1 - cos(2x)
Sin(2x)
2sin(x)cos(x)
Cos(2x)
Cos²(x) - Sin²(x)
D/dx tan^-1(x)
1/(1+x²)
D/dx sin^-1(x)
1/sqrt(1-x²)
D/dx cos(x)
-1/sqrt(1 - x²)
D/dx Cot^-1(x)
-1/(1+x²)
D/dx Sec^-1(x)
1/(abs(x) * sqrt(x² - 1))
D/dx Csc^-1(x)
-1/(abs(x) * sqrt(x² - 1))