Maths - C4

All the formula I need to know for C4.

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Integration

Integrated forms:

Sinx = -Cosx + c

Cosx = Sinx + c

Sec"2x = tanx + c

Cosec"2x = cotx + c

Sectanx = -cosecx + c

Tanx = -ln(cosx) + c

Cotx = ln(sinx) + c

1 of 4

Differentiation

Differentials:

Cosx = -sinx + c

Sinx = cosx + c

Cotx = -cosec"2x + c

Tanx = sec"2x + c

Secx = tanxsecx + c

Cosecx = -cosecxcotx

2 of 4

Trigonometry identities

All identities I need:

Sin"2x + cos"2x = 1

1 + tan"2x = sec"2x

1 + cot"2x = cosec"2x

sin(a+/-b) = sinacosb +/- cosasinb

cos(a+/-b) = cosacosb -/+ sinasinb

tan(a+/-b) =

sin2x = 2sinxcosx

=

cos2x = cos"2x - sin"2x

= 2cos"2x - 1

= 1 - 2sin"2x

=

tan2x =

cot2x =

sin3x = 3sinx - 4sin"3x

cos3x = 4cos"3x - 3cosx

tan3x =

cot3x

3 of 4

Continued

cos2x = cos"2x - sin"2x

= 2cos"2x - 1

= 1 - 2sin"2x

=

tan2x =

cot2x =

sin3x = 3sinx - 4sin"3x

cos3x = 4cos"3x - 3cosx

4 of 4

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