Trig Functions

Question 1

Sinx2 + cosx2?

Answer 1

1

Question 2

Tanx?

Answer 2

Sinx/Coex

Question 3

1 + cotx2?

Answer 3

CosecX2

Question 4

1 + tanX2?

Answer 4

SecX2

Question 5

CosecX?

Answer 5

1/sinX

Question 6

SecX?

Answer 6

1/cosX

Question 7

CotX?

Answer 7

1/tanX or cosX/sinX

Question 8

How do you alternately write inverses?

Answer 8

Arc-

Question 9

Sin(A+B)?

Answer 9

SinAcosB+cosAsinB

Question 10

Cos(A+B)?

Answer 10

CosAcosB-sinAsinB

Question 11

Tan(A+B)?

Answer 11

(tanA+tanB)/(1-tanAtanB)

Question 12

Sin2A?

Answer 12

2sinAcosA

Question 13

Cos2A?

Answer 13

CosA2-sinA2

Question 14

Tan2A?

Answer 14

(2tanA)/(1-tanA2)

Question 15

Differentiate sinX

Answer 15

CosX

Question 16

Differentiate cosX

Answer 16

-sinX

Question 17

Differentiate tanX

Answer 17

SecX2

Question 18

When should you use the product rule?

Answer 18

When differentiating two functions which are being multiplied together e.g. y=uv

Question 19

What is the product rule?

Answer 19

Dy/dx = u(dv/dx) + v(du/dx)

Question 20

When do you use the chain rule?

Answer 20

When you need to differentiate a function of a function e.g. f(X)N

Question 21

What is the chain rule?

Answer 21

If y=[f(x)]N

Dy/dx=n[f(x)]N-1.f-1(x)

Question 22

When do you use the quotient rule?

Answer 22

Y=u/v

Question 23

What is the quotient rule?

Answer 23

Dy/dx=(v(du/dx)-u(dv/dx))/v2

Question 24

Differentiate cosecKX

Answer 24

-KcosecKXcotKX

Question 25

Differentiate secKX

Answer 25

KsecKXtanKX

Question 26

Differentiate cotKX

Answer 26

-cosec*2(KX)

Question 27

How do you differentiate parametrics?

Answer 27

Dy/dx= (dy/dt)/(dx/dt)