P3 Formulas + Stuff Needed

Question 1

Sec^2 x =

Answer 1

1 + tan^2 x

Question 2

Cosec^2 x =

Answer 2

1 + cot^2

Question 3

Sin2A =

Answer 3

2sinAcosA

Question 4

Cos2A =

Answer 4

Cos^2A - Sin^2A = 1- 2Sin^2 A = 2Cos^2 A - 1

Question 5

Differentiate e^x

Answer 5

3^x ln x

Question 6

Differentiate e^kx

Answer 6

K * e^kx

Question 7

Differentiate cos x

Answer 7

-sin x

Question 8

Differentiate cos kx

Answer 8

• ksin kx

Question 9

Differentiate cos^2 x

Answer 9

• use chain rule!! -2cosxsinx
  1. Bring the power down 2(cosx) times by the differential of the bracket (-sinx)

Question 10

Differentiate sin x

Answer 10

Cos x

Question 11

Differentiate sin 2x

Answer 11

2cos 2x

Question 12

Differentiate sin^2 x

Answer 12

*use chain rule!! 2sinxcosx

Question 13

Differentiate tan kx

Answer 13

Ksec^2 kx

Question 14

Consider integration method - fractions

Answer 14

1. Take DENOMINATOR ONLY
2. Increase the power by 1 and set = y
3. Differentiate
4. Compare coefficients e.g if answer is 3 time bigger than what u want take o.g y= from step 2 and DIVIDE BY 3

Question 15

Consider integration method - non fractions

Answer 15

1. Take term that differentiates into the other (usually has a square e.g sin^2 but not always)
2. Increase power by 1 and set = y
3. Differentiate and compare coefficients
4. If o.g term is 3 times smaller than differentiation then divide the y = by 3