Trig Functions Flashcards by Freddie Hazlitt

Sinx2 + cosx2?

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Tanx?

Sinx/Coex

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1 + cotx2?

CosecX2

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1 + tanX2?

SecX2

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CosecX?

1/sinX

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SecX?

1/cosX

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CotX?

1/tanX or cosX/sinX

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How do you alternately write inverses?

Arc-

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Sin(A+B)?

SinAcosB+cosAsinB

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Cos(A+B)?

CosAcosB-sinAsinB

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Tan(A+B)?

(tanA+tanB)/(1-tanAtanB)

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Sin2A?

2sinAcosA

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Cos2A?

CosA2-sinA2

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Tan2A?

(2tanA)/(1-tanA2)

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Differentiate sinX

CosX

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Differentiate cosX

-sinX

Differentiate tanX

SecX2

When should you use the product rule?

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

What is the product rule?

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

When do you use the chain rule?

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

What is the chain rule?

If y=[f(x)]N

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

When do you use the quotient rule?

Y=u/v

What is the quotient rule?

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

Differentiate cosecKX

-KcosecKXcotKX

Differentiate secKX

KsecKXtanKX

Differentiate cotKX

-cosec*2(KX)

How do you differentiate parametrics?

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